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Finding the Fourth Proportional to 49,007.80, 73,467.24 and 17,821

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Solution

The fourth proportional to 49,007.80, 73,467.24 and 17,821 is: 26,715.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,007.80 : 73,467.24 = 17,821 : x
  2. Step 2: Convert to fraction form
    49,007.80/73,467.24 = 17,821/x
  3. Step 3: Cross multiply
    49,007.80x = 73,467.24 × 17,821
  4. Step 4: Simplify right side
    49,007.80x = 1,309,259,684.04
  5. Step 5: Solve for x
    x = 1,309,259,684.04/49,007.80
  6. Step 6: Final answer
    x = 26,715.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.