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Finding the Fourth Proportional to 83,754.74, 115,589.67 and 47,949.86

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Solution

The fourth proportional to 83,754.74, 115,589.67 and 47,949.86 is: 66,175.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,754.74 : 115,589.67 = 47,949.86 : x
  2. Step 2: Convert to fraction form
    83,754.74/115,589.67 = 47,949.86/x
  3. Step 3: Cross multiply
    83,754.74x = 115,589.67 × 47,949.86
  4. Step 4: Simplify right side
    83,754.74x = 5,542,508,493.95
  5. Step 5: Solve for x
    x = 5,542,508,493.95/83,754.74
  6. Step 6: Final answer
    x = 66,175.46

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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.