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Finding the Fourth Proportional to 35,542.85, 49,049.15 and 19,410.38

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Solution

The fourth proportional to 35,542.85, 49,049.15 and 19,410.38 is: 26,786.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,542.85 : 49,049.15 = 19,410.38 : x
  2. Step 2: Convert to fraction form
    35,542.85/49,049.15 = 19,410.38/x
  3. Step 3: Cross multiply
    35,542.85x = 49,049.15 × 19,410.38
  4. Step 4: Simplify right side
    35,542.85x = 952,062,297.88
  5. Step 5: Solve for x
    x = 952,062,297.88/35,542.85
  6. Step 6: Final answer
    x = 26,786.33

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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.