Fill in the blanks :
`4/32 = 1/(square) = (square)/(40)`

Answer

To solve the problem \( \frac{4}{32} = \frac{1}{\text{(square)}} = \frac{\text{(square)}}{40} \), we need to find the values for the two squares.

### Step 1: Set up the equations
We can denote the first blank as \( x \) and the second blank as \( y \). Thus, we can rewrite the equation as:
\[ \frac{4}{32} = \frac{1}{x} = \frac{y}{40} \]

### Step 2: Solve for \( x \)
From the first part of the equation, we have:
\[ \frac{4}{32} = \frac{1}{x} \]
Cross-multiplying gives:
\[ 4 \cdot x = 32 \cdot 1 \]
This simplifies to:
\[ 4x = 32 \]
Now, divide both sides by 4:
\[ x = \frac{32}{4} = 8 \]

### Step 3: Solve for \( y \)
Now, we use the second part of the equation:
\[ \frac{4}{32} = \frac{y}{40} \]
Cross-multiplying gives:
\[ 4 \cdot 40 = 32 \cdot y \]
This simplifies to:
\[ 160 = 32y \]
Now, divide both sides by 32:
\[ y = \frac{160}{32} = 5 \]

### Final Answer
Thus, the values we found are:
- The first blank (x) is \( 8 \)
- The second blank (y) is \( 5 \)

So, we can fill in the blanks as follows:
\[ \frac{4}{32} = \frac{1}{8} = \frac{5}{40} \]