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Finding the Fourth Proportional to 36,463.85, 54,695.78 and 8,761.85

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Solution

The fourth proportional to 36,463.85, 54,695.78 and 8,761.85 is: 13,142.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,463.85 : 54,695.78 = 8,761.85 : x
  2. Step 2: Convert to fraction form
    36,463.85/54,695.78 = 8,761.85/x
  3. Step 3: Cross multiply
    36,463.85x = 54,695.78 × 8,761.85
  4. Step 4: Simplify right side
    36,463.85x = 479,236,448.33
  5. Step 5: Solve for x
    x = 479,236,448.33/36,463.85
  6. Step 6: Final answer
    x = 13,142.78

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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.