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Finding the Fourth Proportional to 49,923, 68,893.80 and 27,567

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Solution

The fourth proportional to 49,923, 68,893.80 and 27,567 is: 38,042.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,923 : 68,893.80 = 27,567 : x
  2. Step 2: Convert to fraction form
    49,923/68,893.80 = 27,567/x
  3. Step 3: Cross multiply
    49,923x = 68,893.80 × 27,567
  4. Step 4: Simplify right side
    49,923x = 1,899,195,384.60
  5. Step 5: Solve for x
    x = 1,899,195,384.60/49,923
  6. Step 6: Final answer
    x = 38,042.49

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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.