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Finding the Fourth Proportional to 49,609.50, 74,413.17 and 12,169.75

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Solution

The fourth proportional to 49,609.50, 74,413.17 and 12,169.75 is: 18,254.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,609.50 : 74,413.17 = 12,169.75 : x
  2. Step 2: Convert to fraction form
    49,609.50/74,413.17 = 12,169.75/x
  3. Step 3: Cross multiply
    49,609.50x = 74,413.17 × 12,169.75
  4. Step 4: Simplify right side
    49,609.50x = 905,589,675.61
  5. Step 5: Solve for x
    x = 905,589,675.61/49,609.50
  6. Step 6: Final answer
    x = 18,254.36

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Why These Related Problems?

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