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Finding the Fourth Proportional to 29,731.98, 44,550.54 and 15,691.44

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Solution

The fourth proportional to 29,731.98, 44,550.54 and 15,691.44 is: 23,512.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,731.98 : 44,550.54 = 15,691.44 : x
  2. Step 2: Convert to fraction form
    29,731.98/44,550.54 = 15,691.44/x
  3. Step 3: Cross multiply
    29,731.98x = 44,550.54 × 15,691.44
  4. Step 4: Simplify right side
    29,731.98x = 699,062,125.38
  5. Step 5: Solve for x
    x = 699,062,125.38/29,731.98
  6. Step 6: Final answer
    x = 23,512.13

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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.