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Finding the Fourth Proportional to 49,118.68, 67,781.22 and 27,895

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Solution

The fourth proportional to 49,118.68, 67,781.22 and 27,895 is: 38,493.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,118.68 : 67,781.22 = 27,895 : x
  2. Step 2: Convert to fraction form
    49,118.68/67,781.22 = 27,895/x
  3. Step 3: Cross multiply
    49,118.68x = 67,781.22 × 27,895
  4. Step 4: Simplify right side
    49,118.68x = 1,890,757,131.90
  5. Step 5: Solve for x
    x = 1,890,757,131.90/49,118.68
  6. Step 6: Final answer
    x = 38,493.65

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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.