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Finding the Fourth Proportional to 67,708.31, 101,718.17 and 47,763.70

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Solution

The fourth proportional to 67,708.31, 101,718.17 and 47,763.70 is: 71,755.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,708.31 : 101,718.17 = 47,763.70 : x
  2. Step 2: Convert to fraction form
    67,708.31/101,718.17 = 47,763.70/x
  3. Step 3: Cross multiply
    67,708.31x = 101,718.17 × 47,763.70
  4. Step 4: Simplify right side
    67,708.31x = 4,858,436,061.34
  5. Step 5: Solve for x
    x = 4,858,436,061.34/67,708.31
  6. Step 6: Final answer
    x = 71,755.39

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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.