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Finding the Fourth Proportional to 36,202.70, 49,961.08 and 20,286.56

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Solution

The fourth proportional to 36,202.70, 49,961.08 and 20,286.56 is: 27,996.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,202.70 : 49,961.08 = 20,286.56 : x
  2. Step 2: Convert to fraction form
    36,202.70/49,961.08 = 20,286.56/x
  3. Step 3: Cross multiply
    36,202.70x = 49,961.08 × 20,286.56
  4. Step 4: Simplify right side
    36,202.70x = 1,013,538,447.08
  5. Step 5: Solve for x
    x = 1,013,538,447.08/36,202.70
  6. Step 6: Final answer
    x = 27,996.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.