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Finding the Fourth Proportional to 33,742.80, 50,614.20 and 10,366.20

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Solution

The fourth proportional to 33,742.80, 50,614.20 and 10,366.20 is: 15,549.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,742.80 : 50,614.20 = 10,366.20 : x
  2. Step 2: Convert to fraction form
    33,742.80/50,614.20 = 10,366.20/x
  3. Step 3: Cross multiply
    33,742.80x = 50,614.20 × 10,366.20
  4. Step 4: Simplify right side
    33,742.80x = 524,676,920.04
  5. Step 5: Solve for x
    x = 524,676,920.04/33,742.80
  6. Step 6: Final answer
    x = 15,549.30

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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.