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Finding the Fourth Proportional to 35,874.03, 49,506.16 and 19,958.48

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Solution

The fourth proportional to 35,874.03, 49,506.16 and 19,958.48 is: 27,542.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,874.03 : 49,506.16 = 19,958.48 : x
  2. Step 2: Convert to fraction form
    35,874.03/49,506.16 = 19,958.48/x
  3. Step 3: Cross multiply
    35,874.03x = 49,506.16 × 19,958.48
  4. Step 4: Simplify right side
    35,874.03x = 988,067,356.91
  5. Step 5: Solve for x
    x = 988,067,356.91/35,874.03
  6. Step 6: Final answer
    x = 27,542.69

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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.