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Finding the Fourth Proportional to 31,993.08, 48,018.12 and 31,874

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Solution

The fourth proportional to 31,993.08, 48,018.12 and 31,874 is: 47,839.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,993.08 : 48,018.12 = 31,874 : x
  2. Step 2: Convert to fraction form
    31,993.08/48,018.12 = 31,874/x
  3. Step 3: Cross multiply
    31,993.08x = 48,018.12 × 31,874
  4. Step 4: Simplify right side
    31,993.08x = 1,530,529,556.88
  5. Step 5: Solve for x
    x = 1,530,529,556.88/31,993.08
  6. Step 6: Final answer
    x = 47,839.39

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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.