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Finding the Fourth Proportional to 83,754.49, 115,589.33 and 47,949.61

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Solution

The fourth proportional to 83,754.49, 115,589.33 and 47,949.61 is: 66,175.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,754.49 : 115,589.33 = 47,949.61 : x
  2. Step 2: Convert to fraction form
    83,754.49/115,589.33 = 47,949.61/x
  3. Step 3: Cross multiply
    83,754.49x = 115,589.33 × 47,949.61
  4. Step 4: Simplify right side
    83,754.49x = 5,542,463,053.91
  5. Step 5: Solve for x
    x = 5,542,463,053.91/83,754.49
  6. Step 6: Final answer
    x = 66,175.12

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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.