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Finding the Fourth Proportional to 36,057.96, 49,761 and 20,144.16

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Solution

The fourth proportional to 36,057.96, 49,761 and 20,144.16 is: 27,799.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,057.96 : 49,761 = 20,144.16 : x
  2. Step 2: Convert to fraction form
    36,057.96/49,761 = 20,144.16/x
  3. Step 3: Cross multiply
    36,057.96x = 49,761 × 20,144.16
  4. Step 4: Simplify right side
    36,057.96x = 1,002,393,545.76
  5. Step 5: Solve for x
    x = 1,002,393,545.76/36,057.96
  6. Step 6: Final answer
    x = 27,799.51

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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.