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Finding the Fourth Proportional to 36,481.44, 54,709.20 and 11,514

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Solution

The fourth proportional to 36,481.44, 54,709.20 and 11,514 is: 17,266.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,481.44 : 54,709.20 = 11,514 : x
  2. Step 2: Convert to fraction form
    36,481.44/54,709.20 = 11,514/x
  3. Step 3: Cross multiply
    36,481.44x = 54,709.20 × 11,514
  4. Step 4: Simplify right side
    36,481.44x = 629,921,728.80
  5. Step 5: Solve for x
    x = 629,921,728.80/36,481.44
  6. Step 6: Final answer
    x = 17,266.91

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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.