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Finding the Fourth Proportional to 49,204.50, 67,902.42 and 27,983.31

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Solution

The fourth proportional to 49,204.50, 67,902.42 and 27,983.31 is: 38,617.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,204.50 : 67,902.42 = 27,983.31 : x
  2. Step 2: Convert to fraction form
    49,204.50/67,902.42 = 27,983.31/x
  3. Step 3: Cross multiply
    49,204.50x = 67,902.42 × 27,983.31
  4. Step 4: Simplify right side
    49,204.50x = 1,900,134,468.61
  5. Step 5: Solve for x
    x = 1,900,134,468.61/49,204.50
  6. Step 6: Final answer
    x = 38,617.09

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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.