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Finding the Fourth Proportional to 100,238.82, 150,375.54 and 33,685.38

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Solution

The fourth proportional to 100,238.82, 150,375.54 and 33,685.38 is: 50,533.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,238.82 : 150,375.54 = 33,685.38 : x
  2. Step 2: Convert to fraction form
    100,238.82/150,375.54 = 33,685.38/x
  3. Step 3: Cross multiply
    100,238.82x = 150,375.54 × 33,685.38
  4. Step 4: Simplify right side
    100,238.82x = 5,065,457,207.61
  5. Step 5: Solve for x
    x = 5,065,457,207.61/100,238.82
  6. Step 6: Final answer
    x = 50,533.89

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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.