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Finding the Fourth Proportional to 41,650.38, 57,477.30 and 22,787.46

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Solution

The fourth proportional to 41,650.38, 57,477.30 and 22,787.46 is: 31,446.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,650.38 : 57,477.30 = 22,787.46 : x
  2. Step 2: Convert to fraction form
    41,650.38/57,477.30 = 22,787.46/x
  3. Step 3: Cross multiply
    41,650.38x = 57,477.30 × 22,787.46
  4. Step 4: Simplify right side
    41,650.38x = 1,309,761,674.66
  5. Step 5: Solve for x
    x = 1,309,761,674.66/41,650.38
  6. Step 6: Final answer
    x = 31,446.57

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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.