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Finding the Fourth Proportional to 49,202.46, 67,899.12 and 27,981.78

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Solution

The fourth proportional to 49,202.46, 67,899.12 and 27,981.78 is: 38,614.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,202.46 : 67,899.12 = 27,981.78 : x
  2. Step 2: Convert to fraction form
    49,202.46/67,899.12 = 27,981.78/x
  3. Step 3: Cross multiply
    49,202.46x = 67,899.12 × 27,981.78
  4. Step 4: Simplify right side
    49,202.46x = 1,899,938,238.03
  5. Step 5: Solve for x
    x = 1,899,938,238.03/49,202.46
  6. Step 6: Final answer
    x = 38,614.70

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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.