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Finding the Fourth Proportional to 27,614.85, 41,381.32 and 20,283.01

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Solution

The fourth proportional to 27,614.85, 41,381.32 and 20,283.01 is: 30,394.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,614.85 : 41,381.32 = 20,283.01 : x
  2. Step 2: Convert to fraction form
    27,614.85/41,381.32 = 20,283.01/x
  3. Step 3: Cross multiply
    27,614.85x = 41,381.32 × 20,283.01
  4. Step 4: Simplify right side
    27,614.85x = 839,337,625.96
  5. Step 5: Solve for x
    x = 839,337,625.96/27,614.85
  6. Step 6: Final answer
    x = 30,394.43

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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.