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Finding the Fourth Proportional to 100,102.55, 150,049.20 and 33,487.88

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Solution

The fourth proportional to 100,102.55, 150,049.20 and 33,487.88 is: 50,196.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,102.55 : 150,049.20 = 33,487.88 : x
  2. Step 2: Convert to fraction form
    100,102.55/150,049.20 = 33,487.88/x
  3. Step 3: Cross multiply
    100,102.55x = 150,049.20 × 33,487.88
  4. Step 4: Simplify right side
    100,102.55x = 5,024,828,853.45
  5. Step 5: Solve for x
    x = 5,024,828,853.45/100,102.55
  6. Step 6: Final answer
    x = 50,196.81

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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.