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Finding the Fourth Proportional to 29,162.71, 40,234.48 and 16,413.31

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Solution

The fourth proportional to 29,162.71, 40,234.48 and 16,413.31 is: 22,644.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,162.71 : 40,234.48 = 16,413.31 : x
  2. Step 2: Convert to fraction form
    29,162.71/40,234.48 = 16,413.31/x
  3. Step 3: Cross multiply
    29,162.71x = 40,234.48 × 16,413.31
  4. Step 4: Simplify right side
    29,162.71x = 660,380,992.93
  5. Step 5: Solve for x
    x = 660,380,992.93/29,162.71
  6. Step 6: Final answer
    x = 22,644.71

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