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Finding the Fourth Proportional to 57,761.34, 86,591.37 and 27,760.56

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Solution

The fourth proportional to 57,761.34, 86,591.37 and 27,760.56 is: 41,616.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,761.34 : 86,591.37 = 27,760.56 : x
  2. Step 2: Convert to fraction form
    57,761.34/86,591.37 = 27,760.56/x
  3. Step 3: Cross multiply
    57,761.34x = 86,591.37 × 27,760.56
  4. Step 4: Simplify right side
    57,761.34x = 2,403,824,922.37
  5. Step 5: Solve for x
    x = 2,403,824,922.37/57,761.34
  6. Step 6: Final answer
    x = 41,616.50

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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.