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Finding the Fourth Proportional to 48,863.76, 67,421.76 and 27,648.24

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Solution

The fourth proportional to 48,863.76, 67,421.76 and 27,648.24 is: 38,148.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,863.76 : 67,421.76 = 27,648.24 : x
  2. Step 2: Convert to fraction form
    48,863.76/67,421.76 = 27,648.24/x
  3. Step 3: Cross multiply
    48,863.76x = 67,421.76 × 27,648.24
  4. Step 4: Simplify right side
    48,863.76x = 1,864,093,001.70
  5. Step 5: Solve for x
    x = 1,864,093,001.70/48,863.76
  6. Step 6: Final answer
    x = 38,148.78

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1.5x scale

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.