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Finding the Fourth Proportional to 31,249.80, 43,144.88 and 27,886.82

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Solution

The fourth proportional to 31,249.80, 43,144.88 and 27,886.82 is: 38,501.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,249.80 : 43,144.88 = 27,886.82 : x
  2. Step 2: Convert to fraction form
    31,249.80/43,144.88 = 27,886.82/x
  3. Step 3: Cross multiply
    31,249.80x = 43,144.88 × 27,886.82
  4. Step 4: Simplify right side
    31,249.80x = 1,203,173,147.32
  5. Step 5: Solve for x
    x = 1,203,173,147.32/31,249.80
  6. Step 6: Final answer
    x = 38,501.79

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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.