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Finding the Fourth Proportional to 48,899.20, 67,481.82 and 27,678.40

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Solution

The fourth proportional to 48,899.20, 67,481.82 and 27,678.40 is: 38,196.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,899.20 : 67,481.82 = 27,678.40 : x
  2. Step 2: Convert to fraction form
    48,899.20/67,481.82 = 27,678.40/x
  3. Step 3: Cross multiply
    48,899.20x = 67,481.82 × 27,678.40
  4. Step 4: Simplify right side
    48,899.20x = 1,867,788,806.69
  5. Step 5: Solve for x
    x = 1,867,788,806.69/48,899.20
  6. Step 6: Final answer
    x = 38,196.72

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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.