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Finding the Fourth Proportional to 83,960.25, 115,854.13 and 51,711.72

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Solution

The fourth proportional to 83,960.25, 115,854.13 and 51,711.72 is: 71,355.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,960.25 : 115,854.13 = 51,711.72 : x
  2. Step 2: Convert to fraction form
    83,960.25/115,854.13 = 51,711.72/x
  3. Step 3: Cross multiply
    83,960.25x = 115,854.13 × 51,711.72
  4. Step 4: Simplify right side
    83,960.25x = 5,991,016,331.40
  5. Step 5: Solve for x
    x = 5,991,016,331.40/83,960.25
  6. Step 6: Final answer
    x = 71,355.39

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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.