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Finding the Fourth Proportional to 71,413.49, 98,541.52 and 41,198.87

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Solution

The fourth proportional to 71,413.49, 98,541.52 and 41,198.87 is: 56,849.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,413.49 : 98,541.52 = 41,198.87 : x
  2. Step 2: Convert to fraction form
    71,413.49/98,541.52 = 41,198.87/x
  3. Step 3: Cross multiply
    71,413.49x = 98,541.52 × 41,198.87
  4. Step 4: Simplify right side
    71,413.49x = 4,059,799,415.44
  5. Step 5: Solve for x
    x = 4,059,799,415.44/71,413.49
  6. Step 6: Final answer
    x = 56,849.19

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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.