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Finding the Fourth Proportional to 71,467.18, 107,200.78 and 24,694.54

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Solution

The fourth proportional to 71,467.18, 107,200.78 and 24,694.54 is: 37,041.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,467.18 : 107,200.78 = 24,694.54 : x
  2. Step 2: Convert to fraction form
    71,467.18/107,200.78 = 24,694.54/x
  3. Step 3: Cross multiply
    71,467.18x = 107,200.78 × 24,694.54
  4. Step 4: Simplify right side
    71,467.18x = 2,647,273,949.74
  5. Step 5: Solve for x
    x = 2,647,273,949.74/71,467.18
  6. Step 6: Final answer
    x = 37,041.81

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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.