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Finding the Fourth Proportional to 33,919.20, 50,864.40 and 16,394.40

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Solution

The fourth proportional to 33,919.20, 50,864.40 and 16,394.40 is: 24,584.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,919.20 : 50,864.40 = 16,394.40 : x
  2. Step 2: Convert to fraction form
    33,919.20/50,864.40 = 16,394.40/x
  3. Step 3: Cross multiply
    33,919.20x = 50,864.40 × 16,394.40
  4. Step 4: Simplify right side
    33,919.20x = 833,891,319.36
  5. Step 5: Solve for x
    x = 833,891,319.36/33,919.20
  6. Step 6: Final answer
    x = 24,584.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.