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Finding the Fourth Proportional to 33,463, 50,165.88 and 13,729.24

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Solution

The fourth proportional to 33,463, 50,165.88 and 13,729.24 is: 20,582.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,463 : 50,165.88 = 13,729.24 : x
  2. Step 2: Convert to fraction form
    33,463/50,165.88 = 13,729.24/x
  3. Step 3: Cross multiply
    33,463x = 50,165.88 × 13,729.24
  4. Step 4: Simplify right side
    33,463x = 688,739,406.33
  5. Step 5: Solve for x
    x = 688,739,406.33/33,463
  6. Step 6: Final answer
    x = 20,582.12

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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.