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Finding the Fourth Proportional to 81,096.24, 121,687.98 and 33,744

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Solution

The fourth proportional to 81,096.24, 121,687.98 and 33,744 is: 50,634.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,096.24 : 121,687.98 = 33,744 : x
  2. Step 2: Convert to fraction form
    81,096.24/121,687.98 = 33,744/x
  3. Step 3: Cross multiply
    81,096.24x = 121,687.98 × 33,744
  4. Step 4: Simplify right side
    81,096.24x = 4,106,239,197.12
  5. Step 5: Solve for x
    x = 4,106,239,197.12/81,096.24
  6. Step 6: Final answer
    x = 50,634.15

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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.