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Finding the Fourth Proportional to 33,164.38, 45,770.07 and 24,766.30

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Solution

The fourth proportional to 33,164.38, 45,770.07 and 24,766.30 is: 34,179.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,164.38 : 45,770.07 = 24,766.30 : x
  2. Step 2: Convert to fraction form
    33,164.38/45,770.07 = 24,766.30/x
  3. Step 3: Cross multiply
    33,164.38x = 45,770.07 × 24,766.30
  4. Step 4: Simplify right side
    33,164.38x = 1,133,555,284.64
  5. Step 5: Solve for x
    x = 1,133,555,284.64/33,164.38
  6. Step 6: Final answer
    x = 34,179.90

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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.