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Finding the Fourth Proportional to 100,217.82, 150,344.01 and 33,664.35

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Solution

The fourth proportional to 100,217.82, 150,344.01 and 33,664.35 is: 50,502.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,217.82 : 150,344.01 = 33,664.35 : x
  2. Step 2: Convert to fraction form
    100,217.82/150,344.01 = 33,664.35/x
  3. Step 3: Cross multiply
    100,217.82x = 150,344.01 × 33,664.35
  4. Step 4: Simplify right side
    100,217.82x = 5,061,233,373.04
  5. Step 5: Solve for x
    x = 5,061,233,373.04/100,217.82
  6. Step 6: Final answer
    x = 50,502.33

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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.