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Finding the Fourth Proportional to 71,175.11, 98,221.68 and 39,344

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Solution

The fourth proportional to 71,175.11, 98,221.68 and 39,344 is: 54,294.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,175.11 : 98,221.68 = 39,344 : x
  2. Step 2: Convert to fraction form
    71,175.11/98,221.68 = 39,344/x
  3. Step 3: Cross multiply
    71,175.11x = 98,221.68 × 39,344
  4. Step 4: Simplify right side
    71,175.11x = 3,864,433,777.92
  5. Step 5: Solve for x
    x = 3,864,433,777.92/71,175.11
  6. Step 6: Final answer
    x = 54,294.74

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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.