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Finding the Fourth Proportional to 107,865.92, 161,806.56 and 33,992

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Solution

The fourth proportional to 107,865.92, 161,806.56 and 33,992 is: 50,990.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,865.92 : 161,806.56 = 33,992 : x
  2. Step 2: Convert to fraction form
    107,865.92/161,806.56 = 33,992/x
  3. Step 3: Cross multiply
    107,865.92x = 161,806.56 × 33,992
  4. Step 4: Simplify right side
    107,865.92x = 5,500,128,587.52
  5. Step 5: Solve for x
    x = 5,500,128,587.52/107,865.92
  6. Step 6: Final answer
    x = 50,990.42

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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.