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Finding the Fourth Proportional to 49,266, 73,908.72 and 25,189.56

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Solution

The fourth proportional to 49,266, 73,908.72 and 25,189.56 is: 37,789.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,266 : 73,908.72 = 25,189.56 : x
  2. Step 2: Convert to fraction form
    49,266/73,908.72 = 25,189.56/x
  3. Step 3: Cross multiply
    49,266x = 73,908.72 × 25,189.56
  4. Step 4: Simplify right side
    49,266x = 1,861,728,136.96
  5. Step 5: Solve for x
    x = 1,861,728,136.96/49,266
  6. Step 6: Final answer
    x = 37,789.31

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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.