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Finding the Fourth Proportional to 72,793.25, 109,078.70 and 49,012.97

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Solution

The fourth proportional to 72,793.25, 109,078.70 and 49,012.97 is: 73,444.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,793.25 : 109,078.70 = 49,012.97 : x
  2. Step 2: Convert to fraction form
    72,793.25/109,078.70 = 49,012.97/x
  3. Step 3: Cross multiply
    72,793.25x = 109,078.70 × 49,012.97
  4. Step 4: Simplify right side
    72,793.25x = 5,346,270,260.28
  5. Step 5: Solve for x
    x = 5,346,270,260.28/72,793.25
  6. Step 6: Final answer
    x = 73,444.59

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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.