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Finding the Fourth Proportional to 83,551.69, 125,296.35 and 33,614.92

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Solution

The fourth proportional to 83,551.69, 125,296.35 and 33,614.92 is: 50,409.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,551.69 : 125,296.35 = 33,614.92 : x
  2. Step 2: Convert to fraction form
    83,551.69/125,296.35 = 33,614.92/x
  3. Step 3: Cross multiply
    83,551.69x = 125,296.35 × 33,614.92
  4. Step 4: Simplify right side
    83,551.69x = 4,211,826,781.54
  5. Step 5: Solve for x
    x = 4,211,826,781.54/83,551.69
  6. Step 6: Final answer
    x = 50,409.83

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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.