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Finding the Fourth Proportional to 49,824.38, 68,735.96 and 31,665.38

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Solution

The fourth proportional to 49,824.38, 68,735.96 and 31,665.38 is: 43,684.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,824.38 : 68,735.96 = 31,665.38 : x
  2. Step 2: Convert to fraction form
    49,824.38/68,735.96 = 31,665.38/x
  3. Step 3: Cross multiply
    49,824.38x = 68,735.96 × 31,665.38
  4. Step 4: Simplify right side
    49,824.38x = 2,176,550,296.44
  5. Step 5: Solve for x
    x = 2,176,550,296.44/49,824.38
  6. Step 6: Final answer
    x = 43,684.44

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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.