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Finding the Fourth Proportional to 30,227.75, 41,717.67 and 18,290.82

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Solution

The fourth proportional to 30,227.75, 41,717.67 and 18,290.82 is: 25,243.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,227.75 : 41,717.67 = 18,290.82 : x
  2. Step 2: Convert to fraction form
    30,227.75/41,717.67 = 18,290.82/x
  3. Step 3: Cross multiply
    30,227.75x = 41,717.67 × 18,290.82
  4. Step 4: Simplify right side
    30,227.75x = 763,050,480.64
  5. Step 5: Solve for x
    x = 763,050,480.64/30,227.75
  6. Step 6: Final answer
    x = 25,243.38

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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.