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Finding the Fourth Proportional to 33,231.99, 49,857.41 and 13,524.69

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Solution

The fourth proportional to 33,231.99, 49,857.41 and 13,524.69 is: 20,290.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,231.99 : 49,857.41 = 13,524.69 : x
  2. Step 2: Convert to fraction form
    33,231.99/49,857.41 = 13,524.69/x
  3. Step 3: Cross multiply
    33,231.99x = 49,857.41 × 13,524.69
  4. Step 4: Simplify right side
    33,231.99x = 674,306,159.15
  5. Step 5: Solve for x
    x = 674,306,159.15/33,231.99
  6. Step 6: Final answer
    x = 20,290.87

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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.