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Finding the Fourth Proportional to 22,489.25, 33,735.08 and 5,849.31

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Solution

The fourth proportional to 22,489.25, 33,735.08 and 5,849.31 is: 8,774.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,489.25 : 33,735.08 = 5,849.31 : x
  2. Step 2: Convert to fraction form
    22,489.25/33,735.08 = 5,849.31/x
  3. Step 3: Cross multiply
    22,489.25x = 33,735.08 × 5,849.31
  4. Step 4: Simplify right side
    22,489.25x = 197,327,081.92
  5. Step 5: Solve for x
    x = 197,327,081.92/22,489.25
  6. Step 6: Final answer
    x = 8,774.29

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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.