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Finding the Fourth Proportional to 23,867, 35,791.48 and 19,175.48

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Solution

The fourth proportional to 23,867, 35,791.48 and 19,175.48 is: 28,755.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,867 : 35,791.48 = 19,175.48 : x
  2. Step 2: Convert to fraction form
    23,867/35,791.48 = 19,175.48/x
  3. Step 3: Cross multiply
    23,867x = 35,791.48 × 19,175.48
  4. Step 4: Simplify right side
    23,867x = 686,318,808.91
  5. Step 5: Solve for x
    x = 686,318,808.91/23,867
  6. Step 6: Final answer
    x = 28,755.97

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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.