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Finding the Fourth Proportional to 78,947.97, 118,342.15 and 33,998.64

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Solution

The fourth proportional to 78,947.97, 118,342.15 and 33,998.64 is: 50,963.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,947.97 : 118,342.15 = 33,998.64 : x
  2. Step 2: Convert to fraction form
    78,947.97/118,342.15 = 33,998.64/x
  3. Step 3: Cross multiply
    78,947.97x = 118,342.15 × 33,998.64
  4. Step 4: Simplify right side
    78,947.97x = 4,023,471,625.90
  5. Step 5: Solve for x
    x = 4,023,471,625.90/78,947.97
  6. Step 6: Final answer
    x = 50,963.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.