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Finding the Fourth Proportional to 57,691.62, 86,506.47 and 29,600.19

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Solution

The fourth proportional to 57,691.62, 86,506.47 and 29,600.19 is: 44,384.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,691.62 : 86,506.47 = 29,600.19 : x
  2. Step 2: Convert to fraction form
    57,691.62/86,506.47 = 29,600.19/x
  3. Step 3: Cross multiply
    57,691.62x = 86,506.47 × 29,600.19
  4. Step 4: Simplify right side
    57,691.62x = 2,560,607,948.23
  5. Step 5: Solve for x
    x = 2,560,607,948.23/57,691.62
  6. Step 6: Final answer
    x = 44,384.40

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Why These Related Problems?

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