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Finding the Fourth Proportional to 89,230.82, 123,142.38 and 53,413.91

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Solution

The fourth proportional to 89,230.82, 123,142.38 and 53,413.91 is: 73,713.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,230.82 : 123,142.38 = 53,413.91 : x
  2. Step 2: Convert to fraction form
    89,230.82/123,142.38 = 53,413.91/x
  3. Step 3: Cross multiply
    89,230.82x = 123,142.38 × 53,413.91
  4. Step 4: Simplify right side
    89,230.82x = 6,577,515,301.94
  5. Step 5: Solve for x
    x = 6,577,515,301.94/89,230.82
  6. Step 6: Final answer
    x = 73,713.50

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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.