`69.3% "of" 445.12div14.06=1623.08div?`

Options

A. 73
B. 79
C. 21
D. 83

Explanation

To solve the equation \( 69.3\% \text{ of } 445.12 \div 14.06 = 1623.08 \div ? \), we will follow these steps:

### Step 1: Convert the percentage to a decimal
To convert \( 69.3\% \) to a decimal, we divide by 100:
\[ 69.3\% = \frac{69.3}{100} = 0.693 \]

**Hint:** Remember that to convert a percentage to a decimal, you divide by 100.

### Step 2: Calculate \( 69.3\% \text{ of } 445.12 \)
Now, we multiply \( 0.693 \) by \( 445.12 \):
\[ 0.693 \times 445.12 \approx 308.1 \quad (\text{approximating } 445.12 \text{ to } 440) \]

**Hint:** When dealing with decimals, rounding to the nearest whole number can simplify calculations.

### Step 3: Divide by \( 14.06 \)
Next, we divide the result by \( 14.06 \):
\[ \frac{308.1}{14.06} \approx 22 \quad (\text{approximating } 14.06 \text{ to } 14) \]

**Hint:** Simplifying numbers to their nearest integers can make division easier.

### Step 4: Set up the equation
Now, we set up the equation based on the original statement:
\[ 22 = \frac{1623.08}{?} \]

**Hint:** Rearranging the equation helps to isolate the variable.

### Step 5: Solve for the question mark
To find \( ? \), we can rearrange the equation:
\[ ? = \frac{1623.08}{22} \]

Calculating this gives:
\[ ? \approx 73.77 \quad (\text{approximating } 1623.08 \text{ to } 1623) \]

**Hint:** When dividing, ensure you are using the approximated values for easier calculations.

### Step 6: Conclusion
The approximate value of \( ? \) is \( 73.77 \). Rounding this gives us \( 74 \), which is the closest integer.

**Final Answer:** \( ? \approx 74 \)