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Finding the Fourth Proportional to 57,442.68, 86,177.79 and 27,825.90

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Solution

The fourth proportional to 57,442.68, 86,177.79 and 27,825.90 is: 41,745.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,442.68 : 86,177.79 = 27,825.90 : x
  2. Step 2: Convert to fraction form
    57,442.68/86,177.79 = 27,825.90/x
  3. Step 3: Cross multiply
    57,442.68x = 86,177.79 × 27,825.90
  4. Step 4: Simplify right side
    57,442.68x = 2,397,974,566.76
  5. Step 5: Solve for x
    x = 2,397,974,566.76/57,442.68
  6. Step 6: Final answer
    x = 41,745.52

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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.