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Finding the Fourth Proportional to 32,542.45, 48,757.94 and 17,761.74

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Solution

The fourth proportional to 32,542.45, 48,757.94 and 17,761.74 is: 26,612.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,542.45 : 48,757.94 = 17,761.74 : x
  2. Step 2: Convert to fraction form
    32,542.45/48,757.94 = 17,761.74/x
  3. Step 3: Cross multiply
    32,542.45x = 48,757.94 × 17,761.74
  4. Step 4: Simplify right side
    32,542.45x = 866,025,609.43
  5. Step 5: Solve for x
    x = 866,025,609.43/32,542.45
  6. Step 6: Final answer
    x = 26,612.19

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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.