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Finding the Fourth Proportional to 33,832, 50,752.84 and 10,460.26

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Solution

The fourth proportional to 33,832, 50,752.84 and 10,460.26 is: 15,691.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,832 : 50,752.84 = 10,460.26 : x
  2. Step 2: Convert to fraction form
    33,832/50,752.84 = 10,460.26/x
  3. Step 3: Cross multiply
    33,832x = 50,752.84 × 10,460.26
  4. Step 4: Simplify right side
    33,832x = 530,887,902.14
  5. Step 5: Solve for x
    x = 530,887,902.14/33,832
  6. Step 6: Final answer
    x = 15,691.89

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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.