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Finding the Fourth Proportional to 33,814.20, 50,721.30 and 16,318.20

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Solution

The fourth proportional to 33,814.20, 50,721.30 and 16,318.20 is: 24,477.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,814.20 : 50,721.30 = 16,318.20 : x
  2. Step 2: Convert to fraction form
    33,814.20/50,721.30 = 16,318.20/x
  3. Step 3: Cross multiply
    33,814.20x = 50,721.30 × 16,318.20
  4. Step 4: Simplify right side
    33,814.20x = 827,680,317.66
  5. Step 5: Solve for x
    x = 827,680,317.66/33,814.20
  6. Step 6: Final answer
    x = 24,477.30

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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.