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Finding the Fourth Proportional to 33,990, 50,972.64 and 11,797.44

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Solution

The fourth proportional to 33,990, 50,972.64 and 11,797.44 is: 17,691.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,990 : 50,972.64 = 11,797.44 : x
  2. Step 2: Convert to fraction form
    33,990/50,972.64 = 11,797.44/x
  3. Step 3: Cross multiply
    33,990x = 50,972.64 × 11,797.44
  4. Step 4: Simplify right side
    33,990x = 601,346,662.04
  5. Step 5: Solve for x
    x = 601,346,662.04/33,990
  6. Step 6: Final answer
    x = 17,691.87

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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.