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Finding the Fourth Proportional to 39,847.76, 54,989.16 and 21,942.38

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Solution

The fourth proportional to 39,847.76, 54,989.16 and 21,942.38 is: 30,280.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,847.76 : 54,989.16 = 21,942.38 : x
  2. Step 2: Convert to fraction form
    39,847.76/54,989.16 = 21,942.38/x
  3. Step 3: Cross multiply
    39,847.76x = 54,989.16 × 21,942.38
  4. Step 4: Simplify right side
    39,847.76x = 1,206,593,044.60
  5. Step 5: Solve for x
    x = 1,206,593,044.60/39,847.76
  6. Step 6: Final answer
    x = 30,280.07

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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.