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Finding the Fourth Proportional to 33,255.14, 45,899.62 and 22,649

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Solution

The fourth proportional to 33,255.14, 45,899.62 and 22,649 is: 31,260.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,255.14 : 45,899.62 = 22,649 : x
  2. Step 2: Convert to fraction form
    33,255.14/45,899.62 = 22,649/x
  3. Step 3: Cross multiply
    33,255.14x = 45,899.62 × 22,649
  4. Step 4: Simplify right side
    33,255.14x = 1,039,580,493.38
  5. Step 5: Solve for x
    x = 1,039,580,493.38/33,255.14
  6. Step 6: Final answer
    x = 31,260.75

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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.