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Finding the Fourth Proportional to 36,142.49, 49,876.89 and 20,228.42

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Solution

The fourth proportional to 36,142.49, 49,876.89 and 20,228.42 is: 27,915.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,142.49 : 49,876.89 = 20,228.42 : x
  2. Step 2: Convert to fraction form
    36,142.49/49,876.89 = 20,228.42/x
  3. Step 3: Cross multiply
    36,142.49x = 49,876.89 × 20,228.42
  4. Step 4: Simplify right side
    36,142.49x = 1,008,930,679.21
  5. Step 5: Solve for x
    x = 1,008,930,679.21/36,142.49
  6. Step 6: Final answer
    x = 27,915.36

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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.