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Finding the Fourth Proportional to 33,180.38, 49,786.49 and 20,697.20

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Solution

The fourth proportional to 33,180.38, 49,786.49 and 20,697.20 is: 31,055.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,180.38 : 49,786.49 = 20,697.20 : x
  2. Step 2: Convert to fraction form
    33,180.38/49,786.49 = 20,697.20/x
  3. Step 3: Cross multiply
    33,180.38x = 49,786.49 × 20,697.20
  4. Step 4: Simplify right side
    33,180.38x = 1,030,440,940.83
  5. Step 5: Solve for x
    x = 1,030,440,940.83/33,180.38
  6. Step 6: Final answer
    x = 31,055.73

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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.