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Finding the Fourth Proportional to 71,677.52, 107,516.16 and 29,581.28

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Solution

The fourth proportional to 71,677.52, 107,516.16 and 29,581.28 is: 44,371.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,677.52 : 107,516.16 = 29,581.28 : x
  2. Step 2: Convert to fraction form
    71,677.52/107,516.16 = 29,581.28/x
  3. Step 3: Cross multiply
    71,677.52x = 107,516.16 × 29,581.28
  4. Step 4: Simplify right side
    71,677.52x = 3,180,465,633.48
  5. Step 5: Solve for x
    x = 3,180,465,633.48/71,677.52
  6. Step 6: Final answer
    x = 44,371.87

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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.