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Finding the Fourth Proportional to 27,450.20, 41,138.22 and 20,019.80

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Solution

The fourth proportional to 27,450.20, 41,138.22 and 20,019.80 is: 30,002.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,450.20 : 41,138.22 = 20,019.80 : x
  2. Step 2: Convert to fraction form
    27,450.20/41,138.22 = 20,019.80/x
  3. Step 3: Cross multiply
    27,450.20x = 41,138.22 × 20,019.80
  4. Step 4: Simplify right side
    27,450.20x = 823,578,936.76
  5. Step 5: Solve for x
    x = 823,578,936.76/27,450.20
  6. Step 6: Final answer
    x = 30,002.66

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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.