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Finding the Fourth Proportional to 49,678, 68,555.96 and 27,017.24

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Solution

The fourth proportional to 49,678, 68,555.96 and 27,017.24 is: 37,283.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,678 : 68,555.96 = 27,017.24 : x
  2. Step 2: Convert to fraction form
    49,678/68,555.96 = 27,017.24/x
  3. Step 3: Cross multiply
    49,678x = 68,555.96 × 27,017.24
  4. Step 4: Simplify right side
    49,678x = 1,852,192,824.75
  5. Step 5: Solve for x
    x = 1,852,192,824.75/49,678
  6. Step 6: Final answer
    x = 37,283.97

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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.