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Finding the Fourth Proportional to 107,717.82, 161,571.06 and 32,836.16

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Solution

The fourth proportional to 107,717.82, 161,571.06 and 32,836.16 is: 49,252.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,717.82 : 161,571.06 = 32,836.16 : x
  2. Step 2: Convert to fraction form
    107,717.82/161,571.06 = 32,836.16/x
  3. Step 3: Cross multiply
    107,717.82x = 161,571.06 × 32,836.16
  4. Step 4: Simplify right side
    107,717.82x = 5,305,373,177.53
  5. Step 5: Solve for x
    x = 5,305,373,177.53/107,717.82
  6. Step 6: Final answer
    x = 49,252.51

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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.