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Finding the Fourth Proportional to 83,641.82, 125,367.26 and 33,689.92

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Solution

The fourth proportional to 83,641.82, 125,367.26 and 33,689.92 is: 50,496.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,641.82 : 125,367.26 = 33,689.92 : x
  2. Step 2: Convert to fraction form
    83,641.82/125,367.26 = 33,689.92/x
  3. Step 3: Cross multiply
    83,641.82x = 125,367.26 × 33,689.92
  4. Step 4: Simplify right side
    83,641.82x = 4,223,612,960.02
  5. Step 5: Solve for x
    x = 4,223,612,960.02/83,641.82
  6. Step 6: Final answer
    x = 50,496.43

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