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Finding the Fourth Proportional to 83,889.28, 125,824.32 and 36,494.56

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Solution

The fourth proportional to 83,889.28, 125,824.32 and 36,494.56 is: 54,737.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,889.28 : 125,824.32 = 36,494.56 : x
  2. Step 2: Convert to fraction form
    83,889.28/125,824.32 = 36,494.56/x
  3. Step 3: Cross multiply
    83,889.28x = 125,824.32 × 36,494.56
  4. Step 4: Simplify right side
    83,889.28x = 4,591,903,195.70
  5. Step 5: Solve for x
    x = 4,591,903,195.70/83,889.28
  6. Step 6: Final answer
    x = 54,737.66

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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.