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Finding the Fourth Proportional to 33,606.88, 50,396.16 and 10,228

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Solution

The fourth proportional to 33,606.88, 50,396.16 and 10,228 is: 15,337.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,606.88 : 50,396.16 = 10,228 : x
  2. Step 2: Convert to fraction form
    33,606.88/50,396.16 = 10,228/x
  3. Step 3: Cross multiply
    33,606.88x = 50,396.16 × 10,228
  4. Step 4: Simplify right side
    33,606.88x = 515,451,924.48
  5. Step 5: Solve for x
    x = 515,451,924.48/33,606.88
  6. Step 6: Final answer
    x = 15,337.69

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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.