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Finding the Fourth Proportional to 38,532.30, 57,798.45 and 32,052.30

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Solution

The fourth proportional to 38,532.30, 57,798.45 and 32,052.30 is: 48,078.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,532.30 : 57,798.45 = 32,052.30 : x
  2. Step 2: Convert to fraction form
    38,532.30/57,798.45 = 32,052.30/x
  3. Step 3: Cross multiply
    38,532.30x = 57,798.45 × 32,052.30
  4. Step 4: Simplify right side
    38,532.30x = 1,852,573,258.94
  5. Step 5: Solve for x
    x = 1,852,573,258.94/38,532.30
  6. Step 6: Final answer
    x = 48,078.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.