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Finding the Fourth Proportional to 36,814.57, 55,221.86 and 9,112.57

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Solution

The fourth proportional to 36,814.57, 55,221.86 and 9,112.57 is: 13,668.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,814.57 : 55,221.86 = 9,112.57 : x
  2. Step 2: Convert to fraction form
    36,814.57/55,221.86 = 9,112.57/x
  3. Step 3: Cross multiply
    36,814.57x = 55,221.86 × 9,112.57
  4. Step 4: Simplify right side
    36,814.57x = 503,213,064.78
  5. Step 5: Solve for x
    x = 503,213,064.78/36,814.57
  6. Step 6: Final answer
    x = 13,668.86

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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.