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Finding the Fourth Proportional to 48,981, 67,593.78 and 29,109

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Solution

The fourth proportional to 48,981, 67,593.78 and 29,109 is: 40,170.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,981 : 67,593.78 = 29,109 : x
  2. Step 2: Convert to fraction form
    48,981/67,593.78 = 29,109/x
  3. Step 3: Cross multiply
    48,981x = 67,593.78 × 29,109
  4. Step 4: Simplify right side
    48,981x = 1,967,587,342.02
  5. Step 5: Solve for x
    x = 1,967,587,342.02/48,981
  6. Step 6: Final answer
    x = 40,170.42

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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.