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Finding the Fourth Proportional to 92,102.13, 137,972.43 and 47,757.87

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Solution

The fourth proportional to 92,102.13, 137,972.43 and 47,757.87 is: 71,543.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,102.13 : 137,972.43 = 47,757.87 : x
  2. Step 2: Convert to fraction form
    92,102.13/137,972.43 = 47,757.87/x
  3. Step 3: Cross multiply
    92,102.13x = 137,972.43 × 47,757.87
  4. Step 4: Simplify right side
    92,102.13x = 6,589,269,375.52
  5. Step 5: Solve for x
    x = 6,589,269,375.52/92,102.13
  6. Step 6: Final answer
    x = 71,543.07

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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.