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Finding the Fourth Proportional to 71,002.38, 97,983.88 and 39,173.42

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Solution

The fourth proportional to 71,002.38, 97,983.88 and 39,173.42 is: 54,059.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,002.38 : 97,983.88 = 39,173.42 : x
  2. Step 2: Convert to fraction form
    71,002.38/97,983.88 = 39,173.42/x
  3. Step 3: Cross multiply
    71,002.38x = 97,983.88 × 39,173.42
  4. Step 4: Simplify right side
    71,002.38x = 3,838,363,684.47
  5. Step 5: Solve for x
    x = 3,838,363,684.47/71,002.38
  6. Step 6: Final answer
    x = 54,059.65

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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.