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Finding the Fourth Proportional to 83,610.18, 115,382.13 and 47,800.97

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Solution

The fourth proportional to 83,610.18, 115,382.13 and 47,800.97 is: 65,965.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,610.18 : 115,382.13 = 47,800.97 : x
  2. Step 2: Convert to fraction form
    83,610.18/115,382.13 = 47,800.97/x
  3. Step 3: Cross multiply
    83,610.18x = 115,382.13 × 47,800.97
  4. Step 4: Simplify right side
    83,610.18x = 5,515,377,157.76
  5. Step 5: Solve for x
    x = 5,515,377,157.76/83,610.18
  6. Step 6: Final answer
    x = 65,965.38

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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.