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Finding the Fourth Proportional to 71,691.28, 107,578.40 and 29,563.52

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Solution

The fourth proportional to 71,691.28, 107,578.40 and 29,563.52 is: 44,362.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,691.28 : 107,578.40 = 29,563.52 : x
  2. Step 2: Convert to fraction form
    71,691.28/107,578.40 = 29,563.52/x
  3. Step 3: Cross multiply
    71,691.28x = 107,578.40 × 29,563.52
  4. Step 4: Simplify right side
    71,691.28x = 3,180,396,179.97
  5. Step 5: Solve for x
    x = 3,180,396,179.97/71,691.28
  6. Step 6: Final answer
    x = 44,362.39

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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.