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Finding the Fourth Proportional to 49,497, 68,306.22 and 27,141

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Solution

The fourth proportional to 49,497, 68,306.22 and 27,141 is: 37,454.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,497 : 68,306.22 = 27,141 : x
  2. Step 2: Convert to fraction form
    49,497/68,306.22 = 27,141/x
  3. Step 3: Cross multiply
    49,497x = 68,306.22 × 27,141
  4. Step 4: Simplify right side
    49,497x = 1,853,899,117.02
  5. Step 5: Solve for x
    x = 1,853,899,117.02/49,497
  6. Step 6: Final answer
    x = 37,454.78

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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.