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Finding the Fourth Proportional to 71,002.17, 97,986.11 and 39,169.17

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Solution

The fourth proportional to 71,002.17, 97,986.11 and 39,169.17 is: 54,055.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,002.17 : 97,986.11 = 39,169.17 : x
  2. Step 2: Convert to fraction form
    71,002.17/97,986.11 = 39,169.17/x
  3. Step 3: Cross multiply
    71,002.17x = 97,986.11 × 39,169.17
  4. Step 4: Simplify right side
    71,002.17x = 3,838,034,404.38
  5. Step 5: Solve for x
    x = 3,838,034,404.38/71,002.17
  6. Step 6: Final answer
    x = 54,055.17

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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.