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Finding the Fourth Proportional to 80,198.40, 110,673 and 47,947.84

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Solution

The fourth proportional to 80,198.40, 110,673 and 47,947.84 is: 66,167.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,198.40 : 110,673 = 47,947.84 : x
  2. Step 2: Convert to fraction form
    80,198.40/110,673 = 47,947.84/x
  3. Step 3: Cross multiply
    80,198.40x = 110,673 × 47,947.84
  4. Step 4: Simplify right side
    80,198.40x = 5,306,531,296.32
  5. Step 5: Solve for x
    x = 5,306,531,296.32/80,198.40
  6. Step 6: Final answer
    x = 66,167.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.