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Finding the Fourth Proportional to 100,232.12, 150,370.96 and 33,667.14

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Solution

The fourth proportional to 100,232.12, 150,370.96 and 33,667.14 is: 50,508.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,232.12 : 150,370.96 = 33,667.14 : x
  2. Step 2: Convert to fraction form
    100,232.12/150,370.96 = 33,667.14/x
  3. Step 3: Cross multiply
    100,232.12x = 150,370.96 × 33,667.14
  4. Step 4: Simplify right side
    100,232.12x = 5,062,560,162.25
  5. Step 5: Solve for x
    x = 5,062,560,162.25/100,232.12
  6. Step 6: Final answer
    x = 50,508.36

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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.