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Finding the Fourth Proportional to 81,998.07, 122,997.24 and 22,833.74

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Solution

The fourth proportional to 81,998.07, 122,997.24 and 22,833.74 is: 34,250.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,998.07 : 122,997.24 = 22,833.74 : x
  2. Step 2: Convert to fraction form
    81,998.07/122,997.24 = 22,833.74/x
  3. Step 3: Cross multiply
    81,998.07x = 122,997.24 × 22,833.74
  4. Step 4: Simplify right side
    81,998.07x = 2,808,486,383.89
  5. Step 5: Solve for x
    x = 2,808,486,383.89/81,998.07
  6. Step 6: Final answer
    x = 34,250.64

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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.