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Finding the Fourth Proportional to 34,469.73, 51,724.65 and 13,424.31

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Solution

The fourth proportional to 34,469.73, 51,724.65 and 13,424.31 is: 20,144.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,469.73 : 51,724.65 = 13,424.31 : x
  2. Step 2: Convert to fraction form
    34,469.73/51,724.65 = 13,424.31/x
  3. Step 3: Cross multiply
    34,469.73x = 51,724.65 × 13,424.31
  4. Step 4: Simplify right side
    34,469.73x = 694,367,736.24
  5. Step 5: Solve for x
    x = 694,367,736.24/34,469.73
  6. Step 6: Final answer
    x = 20,144.28

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Why These Related Problems?

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