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Finding the Fourth Proportional to 73,244.25, 101,074.26 and 41,413.82

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Solution

The fourth proportional to 73,244.25, 101,074.26 and 41,413.82 is: 57,149.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,244.25 : 101,074.26 = 41,413.82 : x
  2. Step 2: Convert to fraction form
    73,244.25/101,074.26 = 41,413.82/x
  3. Step 3: Cross multiply
    73,244.25x = 101,074.26 × 41,413.82
  4. Step 4: Simplify right side
    73,244.25x = 4,185,870,860.20
  5. Step 5: Solve for x
    x = 4,185,870,860.20/73,244.25
  6. Step 6: Final answer
    x = 57,149.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.