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Finding the Fourth Proportional to 41,650.28, 57,478.23 and 22,787.81

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Solution

The fourth proportional to 41,650.28, 57,478.23 and 22,787.81 is: 31,447.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,650.28 : 57,478.23 = 22,787.81 : x
  2. Step 2: Convert to fraction form
    41,650.28/57,478.23 = 22,787.81/x
  3. Step 3: Cross multiply
    41,650.28x = 57,478.23 × 22,787.81
  4. Step 4: Simplify right side
    41,650.28x = 1,309,802,984.38
  5. Step 5: Solve for x
    x = 1,309,802,984.38/41,650.28
  6. Step 6: Final answer
    x = 31,447.64

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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.