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Finding the Fourth Proportional to 83,757.74, 115,593.82 and 47,952.86

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Solution

The fourth proportional to 83,757.74, 115,593.82 and 47,952.86 is: 66,179.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,757.74 : 115,593.82 = 47,952.86 : x
  2. Step 2: Convert to fraction form
    83,757.74/115,593.82 = 47,952.86/x
  3. Step 3: Cross multiply
    83,757.74x = 115,593.82 × 47,952.86
  4. Step 4: Simplify right side
    83,757.74x = 5,543,054,267.33
  5. Step 5: Solve for x
    x = 5,543,054,267.33/83,757.74
  6. Step 6: Final answer
    x = 66,179.61

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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.