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Finding the Fourth Proportional to 70,097.82, 96,723.58 and 41,413.49

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Solution

The fourth proportional to 70,097.82, 96,723.58 and 41,413.49 is: 57,143.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,097.82 : 96,723.58 = 41,413.49 : x
  2. Step 2: Convert to fraction form
    70,097.82/96,723.58 = 41,413.49/x
  3. Step 3: Cross multiply
    70,097.82x = 96,723.58 × 41,413.49
  4. Step 4: Simplify right side
    70,097.82x = 4,005,661,013.09
  5. Step 5: Solve for x
    x = 4,005,661,013.09/70,097.82
  6. Step 6: Final answer
    x = 57,143.87

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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.