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Finding the Fourth Proportional to 49,203, 67,899.78 and 27,982.24

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Solution

The fourth proportional to 49,203, 67,899.78 and 27,982.24 is: 38,615.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,203 : 67,899.78 = 27,982.24 : x
  2. Step 2: Convert to fraction form
    49,203/67,899.78 = 27,982.24/x
  3. Step 3: Cross multiply
    49,203x = 67,899.78 × 27,982.24
  4. Step 4: Simplify right side
    49,203x = 1,899,987,939.91
  5. Step 5: Solve for x
    x = 1,899,987,939.91/49,203
  6. Step 6: Final answer
    x = 38,615.29

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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.