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Finding the Fourth Proportional to 103,947.81, 155,905.52 and 33,826.65

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Solution

The fourth proportional to 103,947.81, 155,905.52 and 33,826.65 is: 50,734.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,947.81 : 155,905.52 = 33,826.65 : x
  2. Step 2: Convert to fraction form
    103,947.81/155,905.52 = 33,826.65/x
  3. Step 3: Cross multiply
    103,947.81x = 155,905.52 × 33,826.65
  4. Step 4: Simplify right side
    103,947.81x = 5,273,761,288.97
  5. Step 5: Solve for x
    x = 5,273,761,288.97/103,947.81
  6. Step 6: Final answer
    x = 50,734.70

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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.