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Finding the Fourth Proportional to 36,491.80, 54,737.16 and 19,847.92

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Solution

The fourth proportional to 36,491.80, 54,737.16 and 19,847.92 is: 29,771.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,491.80 : 54,737.16 = 19,847.92 : x
  2. Step 2: Convert to fraction form
    36,491.80/54,737.16 = 19,847.92/x
  3. Step 3: Cross multiply
    36,491.80x = 54,737.16 × 19,847.92
  4. Step 4: Simplify right side
    36,491.80x = 1,086,418,772.71
  5. Step 5: Solve for x
    x = 1,086,418,772.71/36,491.80
  6. Step 6: Final answer
    x = 29,771.59

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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.