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Finding the Fourth Proportional to 71,157.44, 106,734.24 and 24,442.56

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Solution

The fourth proportional to 71,157.44, 106,734.24 and 24,442.56 is: 36,663.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,157.44 : 106,734.24 = 24,442.56 : x
  2. Step 2: Convert to fraction form
    71,157.44/106,734.24 = 24,442.56/x
  3. Step 3: Cross multiply
    71,157.44x = 106,734.24 × 24,442.56
  4. Step 4: Simplify right side
    71,157.44x = 2,608,858,065.25
  5. Step 5: Solve for x
    x = 2,608,858,065.25/71,157.44
  6. Step 6: Final answer
    x = 36,663.18

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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.