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Finding the Fourth Proportional to 57,219.67, 85,848.13 and 27,640.90

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Solution

The fourth proportional to 57,219.67, 85,848.13 and 27,640.90 is: 41,470.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,219.67 : 85,848.13 = 27,640.90 : x
  2. Step 2: Convert to fraction form
    57,219.67/85,848.13 = 27,640.90/x
  3. Step 3: Cross multiply
    57,219.67x = 85,848.13 × 27,640.90
  4. Step 4: Simplify right side
    57,219.67x = 2,372,919,576.52
  5. Step 5: Solve for x
    x = 2,372,919,576.52/57,219.67
  6. Step 6: Final answer
    x = 41,470.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.