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Finding the Fourth Proportional to 71,604.76, 107,375.80 and 29,456.68

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Solution

The fourth proportional to 71,604.76, 107,375.80 and 29,456.68 is: 44,172.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,604.76 : 107,375.80 = 29,456.68 : x
  2. Step 2: Convert to fraction form
    71,604.76/107,375.80 = 29,456.68/x
  3. Step 3: Cross multiply
    71,604.76x = 107,375.80 × 29,456.68
  4. Step 4: Simplify right side
    71,604.76x = 3,162,934,580.34
  5. Step 5: Solve for x
    x = 3,162,934,580.34/71,604.76
  6. Step 6: Final answer
    x = 44,172.13

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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.