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Finding the Fourth Proportional to 37,942.92, 52,362.99 and 20,949.57

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Solution

The fourth proportional to 37,942.92, 52,362.99 and 20,949.57 is: 28,911.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,942.92 : 52,362.99 = 20,949.57 : x
  2. Step 2: Convert to fraction form
    37,942.92/52,362.99 = 20,949.57/x
  3. Step 3: Cross multiply
    37,942.92x = 52,362.99 × 20,949.57
  4. Step 4: Simplify right side
    37,942.92x = 1,096,982,124.41
  5. Step 5: Solve for x
    x = 1,096,982,124.41/37,942.92
  6. Step 6: Final answer
    x = 28,911.38

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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.