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Finding the Fourth Proportional to 70,786.80, 106,198.56 and 26,413.88

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Solution

The fourth proportional to 70,786.80, 106,198.56 and 26,413.88 is: 39,627.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,786.80 : 106,198.56 = 26,413.88 : x
  2. Step 2: Convert to fraction form
    70,786.80/106,198.56 = 26,413.88/x
  3. Step 3: Cross multiply
    70,786.80x = 106,198.56 × 26,413.88
  4. Step 4: Simplify right side
    70,786.80x = 2,805,115,489.02
  5. Step 5: Solve for x
    x = 2,805,115,489.02/70,786.80
  6. Step 6: Final answer
    x = 39,627.66

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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.