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Finding the Fourth Proportional to 96,198.12, 144,295.56 and 33,867

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Solution

The fourth proportional to 96,198.12, 144,295.56 and 33,867 is: 50,799.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,198.12 : 144,295.56 = 33,867 : x
  2. Step 2: Convert to fraction form
    96,198.12/144,295.56 = 33,867/x
  3. Step 3: Cross multiply
    96,198.12x = 144,295.56 × 33,867
  4. Step 4: Simplify right side
    96,198.12x = 4,886,857,730.52
  5. Step 5: Solve for x
    x = 4,886,857,730.52/96,198.12
  6. Step 6: Final answer
    x = 50,799.93

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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.