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Finding the Fourth Proportional to 30,286.40, 41,771.54 and 19,679.44

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Solution

The fourth proportional to 30,286.40, 41,771.54 and 19,679.44 is: 27,142.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,286.40 : 41,771.54 = 19,679.44 : x
  2. Step 2: Convert to fraction form
    30,286.40/41,771.54 = 19,679.44/x
  3. Step 3: Cross multiply
    30,286.40x = 41,771.54 × 19,679.44
  4. Step 4: Simplify right side
    30,286.40x = 822,040,515.14
  5. Step 5: Solve for x
    x = 822,040,515.14/30,286.40
  6. Step 6: Final answer
    x = 27,142.23

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