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Finding the Fourth Proportional to 33,823.20, 50,734.80 and 33,304.80

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Solution

The fourth proportional to 33,823.20, 50,734.80 and 33,304.80 is: 49,957.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,823.20 : 50,734.80 = 33,304.80 : x
  2. Step 2: Convert to fraction form
    33,823.20/50,734.80 = 33,304.80/x
  3. Step 3: Cross multiply
    33,823.20x = 50,734.80 × 33,304.80
  4. Step 4: Simplify right side
    33,823.20x = 1,689,712,367.04
  5. Step 5: Solve for x
    x = 1,689,712,367.04/33,823.20
  6. Step 6: Final answer
    x = 49,957.20

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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.