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Finding the Fourth Proportional to 31,934.70, 44,044.74 and 27,735.66

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Solution

The fourth proportional to 31,934.70, 44,044.74 and 27,735.66 is: 38,253.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,934.70 : 44,044.74 = 27,735.66 : x
  2. Step 2: Convert to fraction form
    31,934.70/44,044.74 = 27,735.66/x
  3. Step 3: Cross multiply
    31,934.70x = 44,044.74 × 27,735.66
  4. Step 4: Simplify right side
    31,934.70x = 1,221,609,933.43
  5. Step 5: Solve for x
    x = 1,221,609,933.43/31,934.70
  6. Step 6: Final answer
    x = 38,253.37

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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.