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Finding the Fourth Proportional to 33,571.38, 50,359.90 and 10,198.02

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Solution

The fourth proportional to 33,571.38, 50,359.90 and 10,198.02 is: 15,297.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,571.38 : 50,359.90 = 10,198.02 : x
  2. Step 2: Convert to fraction form
    33,571.38/50,359.90 = 10,198.02/x
  3. Step 3: Cross multiply
    33,571.38x = 50,359.90 × 10,198.02
  4. Step 4: Simplify right side
    33,571.38x = 513,571,267.40
  5. Step 5: Solve for x
    x = 513,571,267.40/33,571.38
  6. Step 6: Final answer
    x = 15,297.89

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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.