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Finding the Fourth Proportional to 33,000.20, 49,500.30 and 12,231.80

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Solution

The fourth proportional to 33,000.20, 49,500.30 and 12,231.80 is: 18,347.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,000.20 : 49,500.30 = 12,231.80 : x
  2. Step 2: Convert to fraction form
    33,000.20/49,500.30 = 12,231.80/x
  3. Step 3: Cross multiply
    33,000.20x = 49,500.30 × 12,231.80
  4. Step 4: Simplify right side
    33,000.20x = 605,477,769.54
  5. Step 5: Solve for x
    x = 605,477,769.54/33,000.20
  6. Step 6: Final answer
    x = 18,347.70

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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.