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Finding the Fourth Proportional to 105,609.76, 158,413.14 and 26,723.44

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Solution

The fourth proportional to 105,609.76, 158,413.14 and 26,723.44 is: 40,084.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,609.76 : 158,413.14 = 26,723.44 : x
  2. Step 2: Convert to fraction form
    105,609.76/158,413.14 = 26,723.44/x
  3. Step 3: Cross multiply
    105,609.76x = 158,413.14 × 26,723.44
  4. Step 4: Simplify right side
    105,609.76x = 4,233,344,042.00
  5. Step 5: Solve for x
    x = 4,233,344,042.00/105,609.76
  6. Step 6: Final answer
    x = 40,084.78

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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.