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Finding the Fourth Proportional to 33,177.20, 49,765.80 and 9,803.30

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Solution

The fourth proportional to 33,177.20, 49,765.80 and 9,803.30 is: 14,704.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,177.20 : 49,765.80 = 9,803.30 : x
  2. Step 2: Convert to fraction form
    33,177.20/49,765.80 = 9,803.30/x
  3. Step 3: Cross multiply
    33,177.20x = 49,765.80 × 9,803.30
  4. Step 4: Simplify right side
    33,177.20x = 487,869,067.14
  5. Step 5: Solve for x
    x = 487,869,067.14/33,177.20
  6. Step 6: Final answer
    x = 14,704.95

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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.