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Finding the Fourth Proportional to 47,951.47, 66,179.46 and 27,814.60

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Solution

The fourth proportional to 47,951.47, 66,179.46 and 27,814.60 is: 38,387.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,951.47 : 66,179.46 = 27,814.60 : x
  2. Step 2: Convert to fraction form
    47,951.47/66,179.46 = 27,814.60/x
  3. Step 3: Cross multiply
    47,951.47x = 66,179.46 × 27,814.60
  4. Step 4: Simplify right side
    47,951.47x = 1,840,755,208.12
  5. Step 5: Solve for x
    x = 1,840,755,208.12/47,951.47
  6. Step 6: Final answer
    x = 38,387.88

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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.