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Finding the Fourth Proportional to 36,451.98, 54,687.78 and 11,493

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Solution

The fourth proportional to 36,451.98, 54,687.78 and 11,493 is: 17,242.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,451.98 : 54,687.78 = 11,493 : x
  2. Step 2: Convert to fraction form
    36,451.98/54,687.78 = 11,493/x
  3. Step 3: Cross multiply
    36,451.98x = 54,687.78 × 11,493
  4. Step 4: Simplify right side
    36,451.98x = 628,526,655.54
  5. Step 5: Solve for x
    x = 628,526,655.54/36,451.98
  6. Step 6: Final answer
    x = 17,242.59

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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.