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Finding the Fourth Proportional to 31,833.88, 43,942.50 and 27,339.56

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Solution

The fourth proportional to 31,833.88, 43,942.50 and 27,339.56 is: 37,738.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,833.88 : 43,942.50 = 27,339.56 : x
  2. Step 2: Convert to fraction form
    31,833.88/43,942.50 = 27,339.56/x
  3. Step 3: Cross multiply
    31,833.88x = 43,942.50 × 27,339.56
  4. Step 4: Simplify right side
    31,833.88x = 1,201,368,615.30
  5. Step 5: Solve for x
    x = 1,201,368,615.30/31,833.88
  6. Step 6: Final answer
    x = 37,738.68

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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.