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Finding the Fourth Proportional to 81,974.39, 122,978.37 and 34,589.50

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Solution

The fourth proportional to 81,974.39, 122,978.37 and 34,589.50 is: 51,891.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,974.39 : 122,978.37 = 34,589.50 : x
  2. Step 2: Convert to fraction form
    81,974.39/122,978.37 = 34,589.50/x
  3. Step 3: Cross multiply
    81,974.39x = 122,978.37 × 34,589.50
  4. Step 4: Simplify right side
    81,974.39x = 4,253,760,329.12
  5. Step 5: Solve for x
    x = 4,253,760,329.12/81,974.39
  6. Step 6: Final answer
    x = 51,891.33

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