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Finding the Fourth Proportional to 83,530.38, 115,269.87 and 45,287.82

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Solution

The fourth proportional to 83,530.38, 115,269.87 and 45,287.82 is: 62,496.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,530.38 : 115,269.87 = 45,287.82 : x
  2. Step 2: Convert to fraction form
    83,530.38/115,269.87 = 45,287.82/x
  3. Step 3: Cross multiply
    83,530.38x = 115,269.87 × 45,287.82
  4. Step 4: Simplify right side
    83,530.38x = 5,220,321,123.98
  5. Step 5: Solve for x
    x = 5,220,321,123.98/83,530.38
  6. Step 6: Final answer
    x = 62,496.08

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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.