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Finding the Fourth Proportional to 100,496.52, 150,638.94 and 33,873.48

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Solution

The fourth proportional to 100,496.52, 150,638.94 and 33,873.48 is: 50,774.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,496.52 : 150,638.94 = 33,873.48 : x
  2. Step 2: Convert to fraction form
    100,496.52/150,638.94 = 33,873.48/x
  3. Step 3: Cross multiply
    100,496.52x = 150,638.94 × 33,873.48
  4. Step 4: Simplify right side
    100,496.52x = 5,102,665,121.31
  5. Step 5: Solve for x
    x = 5,102,665,121.31/100,496.52
  6. Step 6: Final answer
    x = 50,774.55

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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.