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Finding the Fourth Proportional to 109,306.80, 163,969.78 and 33,422.46

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Solution

The fourth proportional to 109,306.80, 163,969.78 and 33,422.46 is: 50,136.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,306.80 : 163,969.78 = 33,422.46 : x
  2. Step 2: Convert to fraction form
    109,306.80/163,969.78 = 33,422.46/x
  3. Step 3: Cross multiply
    109,306.80x = 163,969.78 × 33,422.46
  4. Step 4: Simplify right side
    109,306.80x = 5,480,273,413.26
  5. Step 5: Solve for x
    x = 5,480,273,413.26/109,306.80
  6. Step 6: Final answer
    x = 50,136.62

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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.