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Finding the Fourth Proportional to 71,578.22, 107,363.39 and 29,447.64

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Solution

The fourth proportional to 71,578.22, 107,363.39 and 29,447.64 is: 44,169.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,578.22 : 107,363.39 = 29,447.64 : x
  2. Step 2: Convert to fraction form
    71,578.22/107,363.39 = 29,447.64/x
  3. Step 3: Cross multiply
    71,578.22x = 107,363.39 × 29,447.64
  4. Step 4: Simplify right side
    71,578.22x = 3,161,598,511.97
  5. Step 5: Solve for x
    x = 3,161,598,511.97/71,578.22
  6. Step 6: Final answer
    x = 44,169.84

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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.