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Finding the Fourth Proportional to 49,098.92, 67,757.30 and 27,878.76

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Solution

The fourth proportional to 49,098.92, 67,757.30 and 27,878.76 is: 38,473.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,098.92 : 67,757.30 = 27,878.76 : x
  2. Step 2: Convert to fraction form
    49,098.92/67,757.30 = 27,878.76/x
  3. Step 3: Cross multiply
    49,098.92x = 67,757.30 × 27,878.76
  4. Step 4: Simplify right side
    49,098.92x = 1,888,989,504.95
  5. Step 5: Solve for x
    x = 1,888,989,504.95/49,098.92
  6. Step 6: Final answer
    x = 38,473.14

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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.