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Finding the Fourth Proportional to 48,801.48, 67,338.57 and 27,573

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Solution

The fourth proportional to 48,801.48, 67,338.57 and 27,573 is: 38,046.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,801.48 : 67,338.57 = 27,573 : x
  2. Step 2: Convert to fraction form
    48,801.48/67,338.57 = 27,573/x
  3. Step 3: Cross multiply
    48,801.48x = 67,338.57 × 27,573
  4. Step 4: Simplify right side
    48,801.48x = 1,856,726,390.61
  5. Step 5: Solve for x
    x = 1,856,726,390.61/48,801.48
  6. Step 6: Final answer
    x = 38,046.52

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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.