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Finding the Fourth Proportional to 83,732.70, 115,544.43 and 47,914.50

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Solution

The fourth proportional to 83,732.70, 115,544.43 and 47,914.50 is: 66,118.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,732.70 : 115,544.43 = 47,914.50 : x
  2. Step 2: Convert to fraction form
    83,732.70/115,544.43 = 47,914.50/x
  3. Step 3: Cross multiply
    83,732.70x = 115,544.43 × 47,914.50
  4. Step 4: Simplify right side
    83,732.70x = 5,536,253,591.24
  5. Step 5: Solve for x
    x = 5,536,253,591.24/83,732.70
  6. Step 6: Final answer
    x = 66,118.18

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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.