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Finding the Fourth Proportional to 81,732.48, 122,754.24 and 50,784

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Solution

The fourth proportional to 81,732.48, 122,754.24 and 50,784 is: 76,272.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,732.48 : 122,754.24 = 50,784 : x
  2. Step 2: Convert to fraction form
    81,732.48/122,754.24 = 50,784/x
  3. Step 3: Cross multiply
    81,732.48x = 122,754.24 × 50,784
  4. Step 4: Simplify right side
    81,732.48x = 6,233,951,324.16
  5. Step 5: Solve for x
    x = 6,233,951,324.16/81,732.48
  6. Step 6: Final answer
    x = 76,272.63

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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.