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Finding the Fourth Proportional to 100,203.82, 150,323.04 and 33,650.38

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Solution

The fourth proportional to 100,203.82, 150,323.04 and 33,650.38 is: 50,481.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,203.82 : 150,323.04 = 33,650.38 : x
  2. Step 2: Convert to fraction form
    100,203.82/150,323.04 = 33,650.38/x
  3. Step 3: Cross multiply
    100,203.82x = 150,323.04 × 33,650.38
  4. Step 4: Simplify right side
    100,203.82x = 5,058,427,418.76
  5. Step 5: Solve for x
    x = 5,058,427,418.76/100,203.82
  6. Step 6: Final answer
    x = 50,481.38

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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.