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Finding the Fourth Proportional to 70,944.12, 106,413.11 and 17,634.97

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Solution

The fourth proportional to 70,944.12, 106,413.11 and 17,634.97 is: 26,451.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,944.12 : 106,413.11 = 17,634.97 : x
  2. Step 2: Convert to fraction form
    70,944.12/106,413.11 = 17,634.97/x
  3. Step 3: Cross multiply
    70,944.12x = 106,413.11 × 17,634.97
  4. Step 4: Simplify right side
    70,944.12x = 1,876,591,914.28
  5. Step 5: Solve for x
    x = 1,876,591,914.28/70,944.12
  6. Step 6: Final answer
    x = 26,451.69

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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.