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Finding the Fourth Proportional to 48,878.56, 67,447.92 and 27,654.40

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Solution

The fourth proportional to 48,878.56, 67,447.92 and 27,654.40 is: 38,160.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,878.56 : 67,447.92 = 27,654.40 : x
  2. Step 2: Convert to fraction form
    48,878.56/67,447.92 = 27,654.40/x
  3. Step 3: Cross multiply
    48,878.56x = 67,447.92 × 27,654.40
  4. Step 4: Simplify right side
    48,878.56x = 1,865,231,758.85
  5. Step 5: Solve for x
    x = 1,865,231,758.85/48,878.56
  6. Step 6: Final answer
    x = 38,160.53

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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.