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Finding the Fourth Proportional to 49,524, 74,286 and 14,463.96

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Solution

The fourth proportional to 49,524, 74,286 and 14,463.96 is: 21,695.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,524 : 74,286 = 14,463.96 : x
  2. Step 2: Convert to fraction form
    49,524/74,286 = 14,463.96/x
  3. Step 3: Cross multiply
    49,524x = 74,286 × 14,463.96
  4. Step 4: Simplify right side
    49,524x = 1,074,469,732.56
  5. Step 5: Solve for x
    x = 1,074,469,732.56/49,524
  6. Step 6: Final answer
    x = 21,695.94

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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.