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Finding the Fourth Proportional to 49,397, 68,167.86 and 27,041

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Solution

The fourth proportional to 49,397, 68,167.86 and 27,041 is: 37,316.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,397 : 68,167.86 = 27,041 : x
  2. Step 2: Convert to fraction form
    49,397/68,167.86 = 27,041/x
  3. Step 3: Cross multiply
    49,397x = 68,167.86 × 27,041
  4. Step 4: Simplify right side
    49,397x = 1,843,327,102.26
  5. Step 5: Solve for x
    x = 1,843,327,102.26/49,397
  6. Step 6: Final answer
    x = 37,316.58

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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.