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Finding the Fourth Proportional to 51,474.56, 71,004.48 and 31,568

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Solution

The fourth proportional to 51,474.56, 71,004.48 and 31,568 is: 43,545.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,474.56 : 71,004.48 = 31,568 : x
  2. Step 2: Convert to fraction form
    51,474.56/71,004.48 = 31,568/x
  3. Step 3: Cross multiply
    51,474.56x = 71,004.48 × 31,568
  4. Step 4: Simplify right side
    51,474.56x = 2,241,469,424.64
  5. Step 5: Solve for x
    x = 2,241,469,424.64/51,474.56
  6. Step 6: Final answer
    x = 43,545.19

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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.