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Finding the Fourth Proportional to 57,046.56, 85,498.56 and 27,456.48

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Solution

The fourth proportional to 57,046.56, 85,498.56 and 27,456.48 is: 41,150.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,046.56 : 85,498.56 = 27,456.48 : x
  2. Step 2: Convert to fraction form
    57,046.56/85,498.56 = 27,456.48/x
  3. Step 3: Cross multiply
    57,046.56x = 85,498.56 × 27,456.48
  4. Step 4: Simplify right side
    57,046.56x = 2,347,489,502.67
  5. Step 5: Solve for x
    x = 2,347,489,502.67/57,046.56
  6. Step 6: Final answer
    x = 41,150.41

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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.