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Finding the Fourth Proportional to 83,499.71, 125,218.46 and 33,562.97

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Solution

The fourth proportional to 83,499.71, 125,218.46 and 33,562.97 is: 50,331.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,499.71 : 125,218.46 = 33,562.97 : x
  2. Step 2: Convert to fraction form
    83,499.71/125,218.46 = 33,562.97/x
  3. Step 3: Cross multiply
    83,499.71x = 125,218.46 × 33,562.97
  4. Step 4: Simplify right side
    83,499.71x = 4,202,702,622.52
  5. Step 5: Solve for x
    x = 4,202,702,622.52/83,499.71
  6. Step 6: Final answer
    x = 50,331.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.