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Finding the Fourth Proportional to 57,174.56, 85,761.88 and 23,876.48

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Solution

The fourth proportional to 57,174.56, 85,761.88 and 23,876.48 is: 35,814.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,174.56 : 85,761.88 = 23,876.48 : x
  2. Step 2: Convert to fraction form
    57,174.56/85,761.88 = 23,876.48/x
  3. Step 3: Cross multiply
    57,174.56x = 85,761.88 × 23,876.48
  4. Step 4: Simplify right side
    57,174.56x = 2,047,691,812.58
  5. Step 5: Solve for x
    x = 2,047,691,812.58/57,174.56
  6. Step 6: Final answer
    x = 35,814.74

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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.