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Finding the Fourth Proportional to 83,068, 114,593.92 and 54,375.01

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Solution

The fourth proportional to 83,068, 114,593.92 and 54,375.01 is: 75,011.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,068 : 114,593.92 = 54,375.01 : x
  2. Step 2: Convert to fraction form
    83,068/114,593.92 = 54,375.01/x
  3. Step 3: Cross multiply
    83,068x = 114,593.92 × 54,375.01
  4. Step 4: Simplify right side
    83,068x = 6,231,045,545.94
  5. Step 5: Solve for x
    x = 6,231,045,545.94/83,068
  6. Step 6: Final answer
    x = 75,011.38

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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.