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Finding the Fourth Proportional to 33,538.14, 50,230.65 and 16,020.27

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Solution

The fourth proportional to 33,538.14, 50,230.65 and 16,020.27 is: 23,993.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,538.14 : 50,230.65 = 16,020.27 : x
  2. Step 2: Convert to fraction form
    33,538.14/50,230.65 = 16,020.27/x
  3. Step 3: Cross multiply
    33,538.14x = 50,230.65 × 16,020.27
  4. Step 4: Simplify right side
    33,538.14x = 804,708,575.28
  5. Step 5: Solve for x
    x = 804,708,575.28/33,538.14
  6. Step 6: Final answer
    x = 23,993.83

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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.