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Finding the Fourth Proportional to 49,706, 68,594.28 and 27,350

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Solution

The fourth proportional to 49,706, 68,594.28 and 27,350 is: 37,743

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,706 : 68,594.28 = 27,350 : x
  2. Step 2: Convert to fraction form
    49,706/68,594.28 = 27,350/x
  3. Step 3: Cross multiply
    49,706x = 68,594.28 × 27,350
  4. Step 4: Simplify right side
    49,706x = 1,876,053,558
  5. Step 5: Solve for x
    x = 1,876,053,558/49,706
  6. Step 6: Final answer
    x = 37,743

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.