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Finding the Fourth Proportional to 100,102.92, 150,049.77 and 33,488.25

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Solution

The fourth proportional to 100,102.92, 150,049.77 and 33,488.25 is: 50,197.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,102.92 : 150,049.77 = 33,488.25 : x
  2. Step 2: Convert to fraction form
    100,102.92/150,049.77 = 33,488.25/x
  3. Step 3: Cross multiply
    100,102.92x = 150,049.77 × 33,488.25
  4. Step 4: Simplify right side
    100,102.92x = 5,024,903,521.93
  5. Step 5: Solve for x
    x = 5,024,903,521.93/100,102.92
  6. Step 6: Final answer
    x = 50,197.37

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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.