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Finding the Fourth Proportional to 80,321.41, 110,844.17 and 44,512

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Solution

The fourth proportional to 80,321.41, 110,844.17 and 44,512 is: 61,426.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,321.41 : 110,844.17 = 44,512 : x
  2. Step 2: Convert to fraction form
    80,321.41/110,844.17 = 44,512/x
  3. Step 3: Cross multiply
    80,321.41x = 110,844.17 × 44,512
  4. Step 4: Simplify right side
    80,321.41x = 4,933,895,695.04
  5. Step 5: Solve for x
    x = 4,933,895,695.04/80,321.41
  6. Step 6: Final answer
    x = 61,426.91

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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.