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Finding the Fourth Proportional to 49,450.50, 68,237.57 and 27,942.10

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Solution

The fourth proportional to 49,450.50, 68,237.57 and 27,942.10 is: 38,557.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,450.50 : 68,237.57 = 27,942.10 : x
  2. Step 2: Convert to fraction form
    49,450.50/68,237.57 = 27,942.10/x
  3. Step 3: Cross multiply
    49,450.50x = 68,237.57 × 27,942.10
  4. Step 4: Simplify right side
    49,450.50x = 1,906,700,903.96
  5. Step 5: Solve for x
    x = 1,906,700,903.96/49,450.50
  6. Step 6: Final answer
    x = 38,557.77

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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.