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Finding the Fourth Proportional to 41,376.80, 62,065.20 and 16,422.80

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Solution

The fourth proportional to 41,376.80, 62,065.20 and 16,422.80 is: 24,634.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,376.80 : 62,065.20 = 16,422.80 : x
  2. Step 2: Convert to fraction form
    41,376.80/62,065.20 = 16,422.80/x
  3. Step 3: Cross multiply
    41,376.80x = 62,065.20 × 16,422.80
  4. Step 4: Simplify right side
    41,376.80x = 1,019,284,366.56
  5. Step 5: Solve for x
    x = 1,019,284,366.56/41,376.80
  6. Step 6: Final answer
    x = 24,634.20

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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.