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Finding the Fourth Proportional to 47,801.75, 65,963.85 and 27,658.96

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Solution

The fourth proportional to 47,801.75, 65,963.85 and 27,658.96 is: 38,167.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,801.75 : 65,963.85 = 27,658.96 : x
  2. Step 2: Convert to fraction form
    47,801.75/65,963.85 = 27,658.96/x
  3. Step 3: Cross multiply
    47,801.75x = 65,963.85 × 27,658.96
  4. Step 4: Simplify right side
    47,801.75x = 1,824,491,488.60
  5. Step 5: Solve for x
    x = 1,824,491,488.60/47,801.75
  6. Step 6: Final answer
    x = 38,167.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.