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Finding the Fourth Proportional to 49,450, 68,241.04 and 27,094

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Solution

The fourth proportional to 49,450, 68,241.04 and 27,094 is: 37,389.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,450 : 68,241.04 = 27,094 : x
  2. Step 2: Convert to fraction form
    49,450/68,241.04 = 27,094/x
  3. Step 3: Cross multiply
    49,450x = 68,241.04 × 27,094
  4. Step 4: Simplify right side
    49,450x = 1,848,922,737.76
  5. Step 5: Solve for x
    x = 1,848,922,737.76/49,450
  6. Step 6: Final answer
    x = 37,389.74

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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.