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Finding the Fourth Proportional to 67,413.24, 101,132.87 and 25,857

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Solution

The fourth proportional to 67,413.24, 101,132.87 and 25,857 is: 38,790.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,413.24 : 101,132.87 = 25,857 : x
  2. Step 2: Convert to fraction form
    67,413.24/101,132.87 = 25,857/x
  3. Step 3: Cross multiply
    67,413.24x = 101,132.87 × 25,857
  4. Step 4: Simplify right side
    67,413.24x = 2,614,992,490.31
  5. Step 5: Solve for x
    x = 2,614,992,490.31/67,413.24
  6. Step 6: Final answer
    x = 38,790.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.