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Finding the Fourth Proportional to 33,165.38, 45,771.46 and 24,767.30

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Solution

The fourth proportional to 33,165.38, 45,771.46 and 24,767.30 is: 34,181.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,165.38 : 45,771.46 = 24,767.30 : x
  2. Step 2: Convert to fraction form
    33,165.38/45,771.46 = 24,767.30/x
  3. Step 3: Cross multiply
    33,165.38x = 45,771.46 × 24,767.30
  4. Step 4: Simplify right side
    33,165.38x = 1,133,635,481.26
  5. Step 5: Solve for x
    x = 1,133,635,481.26/33,165.38
  6. Step 6: Final answer
    x = 34,181.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.