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Finding the Fourth Proportional to 81,930.86, 122,896.22 and 22,766.50

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Solution

The fourth proportional to 81,930.86, 122,896.22 and 22,766.50 is: 34,149.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,930.86 : 122,896.22 = 22,766.50 : x
  2. Step 2: Convert to fraction form
    81,930.86/122,896.22 = 22,766.50/x
  3. Step 3: Cross multiply
    81,930.86x = 122,896.22 × 22,766.50
  4. Step 4: Simplify right side
    81,930.86x = 2,797,916,792.63
  5. Step 5: Solve for x
    x = 2,797,916,792.63/81,930.86
  6. Step 6: Final answer
    x = 34,149.73

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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.