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Finding the Fourth Proportional to 83,617.80, 115,387.38 and 45,891.78

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Solution

The fourth proportional to 83,617.80, 115,387.38 and 45,891.78 is: 63,327.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,617.80 : 115,387.38 = 45,891.78 : x
  2. Step 2: Convert to fraction form
    83,617.80/115,387.38 = 45,891.78/x
  3. Step 3: Cross multiply
    83,617.80x = 115,387.38 × 45,891.78
  4. Step 4: Simplify right side
    83,617.80x = 5,295,332,257.74
  5. Step 5: Solve for x
    x = 5,295,332,257.74/83,617.80
  6. Step 6: Final answer
    x = 63,327.81

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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.