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Finding the Fourth Proportional to 48,909.48, 67,494.54 and 27,688.56

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Solution

The fourth proportional to 48,909.48, 67,494.54 and 27,688.56 is: 38,209.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,909.48 : 67,494.54 = 27,688.56 : x
  2. Step 2: Convert to fraction form
    48,909.48/67,494.54 = 27,688.56/x
  3. Step 3: Cross multiply
    48,909.48x = 67,494.54 × 27,688.56
  4. Step 4: Simplify right side
    48,909.48x = 1,868,826,620.46
  5. Step 5: Solve for x
    x = 1,868,826,620.46/48,909.48
  6. Step 6: Final answer
    x = 38,209.91

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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.