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Finding the Fourth Proportional to 33,178.20, 49,700.10 and 20,659.80

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Solution

The fourth proportional to 33,178.20, 49,700.10 and 20,659.80 is: 30,947.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,178.20 : 49,700.10 = 20,659.80 : x
  2. Step 2: Convert to fraction form
    33,178.20/49,700.10 = 20,659.80/x
  3. Step 3: Cross multiply
    33,178.20x = 49,700.10 × 20,659.80
  4. Step 4: Simplify right side
    33,178.20x = 1,026,794,125.98
  5. Step 5: Solve for x
    x = 1,026,794,125.98/33,178.20
  6. Step 6: Final answer
    x = 30,947.86

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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.