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Finding the Fourth Proportional to 41,972.32, 62,965.32 and 12,393.15

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Solution

The fourth proportional to 41,972.32, 62,965.32 and 12,393.15 is: 18,591.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,972.32 : 62,965.32 = 12,393.15 : x
  2. Step 2: Convert to fraction form
    41,972.32/62,965.32 = 12,393.15/x
  3. Step 3: Cross multiply
    41,972.32x = 62,965.32 × 12,393.15
  4. Step 4: Simplify right side
    41,972.32x = 780,338,655.56
  5. Step 5: Solve for x
    x = 780,338,655.56/41,972.32
  6. Step 6: Final answer
    x = 18,591.74

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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.