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Finding the Fourth Proportional to 83,469.64, 125,244.96 and 36,716.44

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Solution

The fourth proportional to 83,469.64, 125,244.96 and 36,716.44 is: 55,092.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,469.64 : 125,244.96 = 36,716.44 : x
  2. Step 2: Convert to fraction form
    83,469.64/125,244.96 = 36,716.44/x
  3. Step 3: Cross multiply
    83,469.64x = 125,244.96 × 36,716.44
  4. Step 4: Simplify right side
    83,469.64x = 4,598,549,059.14
  5. Step 5: Solve for x
    x = 4,598,549,059.14/83,469.64
  6. Step 6: Final answer
    x = 55,092.48

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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.