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Finding the Fourth Proportional to 27,580.78, 41,391.96 and 20,204.11

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Solution

The fourth proportional to 27,580.78, 41,391.96 and 20,204.11 is: 30,321.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,580.78 : 41,391.96 = 20,204.11 : x
  2. Step 2: Convert to fraction form
    27,580.78/41,391.96 = 20,204.11/x
  3. Step 3: Cross multiply
    27,580.78x = 41,391.96 × 20,204.11
  4. Step 4: Simplify right side
    27,580.78x = 836,287,712.96
  5. Step 5: Solve for x
    x = 836,287,712.96/27,580.78
  6. Step 6: Final answer
    x = 30,321.39

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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.