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Finding the Fourth Proportional to 36,578.71, 54,891.13 and 14,389.20

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Solution

The fourth proportional to 36,578.71, 54,891.13 and 14,389.20 is: 21,592.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,578.71 : 54,891.13 = 14,389.20 : x
  2. Step 2: Convert to fraction form
    36,578.71/54,891.13 = 14,389.20/x
  3. Step 3: Cross multiply
    36,578.71x = 54,891.13 × 14,389.20
  4. Step 4: Simplify right side
    36,578.71x = 789,839,375.85
  5. Step 5: Solve for x
    x = 789,839,375.85/36,578.71
  6. Step 6: Final answer
    x = 21,592.87

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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.