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Finding the Fourth Proportional to 71,377.98, 107,067.70 and 29,247.24

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Solution

The fourth proportional to 71,377.98, 107,067.70 and 29,247.24 is: 43,871.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,377.98 : 107,067.70 = 29,247.24 : x
  2. Step 2: Convert to fraction form
    71,377.98/107,067.70 = 29,247.24/x
  3. Step 3: Cross multiply
    71,377.98x = 107,067.70 × 29,247.24
  4. Step 4: Simplify right side
    71,377.98x = 3,131,434,718.15
  5. Step 5: Solve for x
    x = 3,131,434,718.15/71,377.98
  6. Step 6: Final answer
    x = 43,871.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.