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Finding the Fourth Proportional to 36,409.41, 54,614.12 and 11,451.65

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Solution

The fourth proportional to 36,409.41, 54,614.12 and 11,451.65 is: 17,177.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,409.41 : 54,614.12 = 11,451.65 : x
  2. Step 2: Convert to fraction form
    36,409.41/54,614.12 = 11,451.65/x
  3. Step 3: Cross multiply
    36,409.41x = 54,614.12 × 11,451.65
  4. Step 4: Simplify right side
    36,409.41x = 625,421,456.97
  5. Step 5: Solve for x
    x = 625,421,456.97/36,409.41
  6. Step 6: Final answer
    x = 17,177.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.