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Finding the Fourth Proportional to 33,727.80, 50,589.84 and 10,354.23

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Solution

The fourth proportional to 33,727.80, 50,589.84 and 10,354.23 is: 15,530.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,727.80 : 50,589.84 = 10,354.23 : x
  2. Step 2: Convert to fraction form
    33,727.80/50,589.84 = 10,354.23/x
  3. Step 3: Cross multiply
    33,727.80x = 50,589.84 × 10,354.23
  4. Step 4: Simplify right side
    33,727.80x = 523,818,839.02
  5. Step 5: Solve for x
    x = 523,818,839.02/33,727.80
  6. Step 6: Final answer
    x = 15,530.77

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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.