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Finding the Fourth Proportional to 83,881.92, 125,850.56 and 34,003.97

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Solution

The fourth proportional to 83,881.92, 125,850.56 and 34,003.97 is: 51,017.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,881.92 : 125,850.56 = 34,003.97 : x
  2. Step 2: Convert to fraction form
    83,881.92/125,850.56 = 34,003.97/x
  3. Step 3: Cross multiply
    83,881.92x = 125,850.56 × 34,003.97
  4. Step 4: Simplify right side
    83,881.92x = 4,279,418,122.48
  5. Step 5: Solve for x
    x = 4,279,418,122.48/83,881.92
  6. Step 6: Final answer
    x = 51,017.17

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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.