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Finding the Fourth Proportional to 41,732.28, 57,591 and 22,869

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Solution

The fourth proportional to 41,732.28, 57,591 and 22,869 is: 31,559.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,732.28 : 57,591 = 22,869 : x
  2. Step 2: Convert to fraction form
    41,732.28/57,591 = 22,869/x
  3. Step 3: Cross multiply
    41,732.28x = 57,591 × 22,869
  4. Step 4: Simplify right side
    41,732.28x = 1,317,048,579
  5. Step 5: Solve for x
    x = 1,317,048,579/41,732.28
  6. Step 6: Final answer
    x = 31,559.47

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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.