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Finding the Fourth Proportional to 33,814.80, 50,722.20 and 16,286.40

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Solution

The fourth proportional to 33,814.80, 50,722.20 and 16,286.40 is: 24,429.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,814.80 : 50,722.20 = 16,286.40 : x
  2. Step 2: Convert to fraction form
    33,814.80/50,722.20 = 16,286.40/x
  3. Step 3: Cross multiply
    33,814.80x = 50,722.20 × 16,286.40
  4. Step 4: Simplify right side
    33,814.80x = 826,082,038.08
  5. Step 5: Solve for x
    x = 826,082,038.08/33,814.80
  6. Step 6: Final answer
    x = 24,429.60

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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.