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Finding the Fourth Proportional to 71,529, 98,712.18 and 39,700.86

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Solution

The fourth proportional to 71,529, 98,712.18 and 39,700.86 is: 54,788.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,529 : 98,712.18 = 39,700.86 : x
  2. Step 2: Convert to fraction form
    71,529/98,712.18 = 39,700.86/x
  3. Step 3: Cross multiply
    71,529x = 98,712.18 × 39,700.86
  4. Step 4: Simplify right side
    71,529x = 3,918,958,438.47
  5. Step 5: Solve for x
    x = 3,918,958,438.47/71,529
  6. Step 6: Final answer
    x = 54,788.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.