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Finding the Fourth Proportional to 100,022.82, 150,054.75 and 33,463.54

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Solution

The fourth proportional to 100,022.82, 150,054.75 and 33,463.54 is: 50,202.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,022.82 : 150,054.75 = 33,463.54 : x
  2. Step 2: Convert to fraction form
    100,022.82/150,054.75 = 33,463.54/x
  3. Step 3: Cross multiply
    100,022.82x = 150,054.75 × 33,463.54
  4. Step 4: Simplify right side
    100,022.82x = 5,021,363,316.38
  5. Step 5: Solve for x
    x = 5,021,363,316.38/100,022.82
  6. Step 6: Final answer
    x = 50,202.18

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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.