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Finding the Fourth Proportional to 31,843.80, 43,828.44 and 28,042.07

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Solution

The fourth proportional to 31,843.80, 43,828.44 and 28,042.07 is: 38,595.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,843.80 : 43,828.44 = 28,042.07 : x
  2. Step 2: Convert to fraction form
    31,843.80/43,828.44 = 28,042.07/x
  3. Step 3: Cross multiply
    31,843.80x = 43,828.44 × 28,042.07
  4. Step 4: Simplify right side
    31,843.80x = 1,229,040,015.91
  5. Step 5: Solve for x
    x = 1,229,040,015.91/31,843.80
  6. Step 6: Final answer
    x = 38,595.90

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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.