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Finding the Fourth Proportional to 51,614.40, 71,234.48 and 30,395.64

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Solution

The fourth proportional to 51,614.40, 71,234.48 and 30,395.64 is: 41,949.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,614.40 : 71,234.48 = 30,395.64 : x
  2. Step 2: Convert to fraction form
    51,614.40/71,234.48 = 30,395.64/x
  3. Step 3: Cross multiply
    51,614.40x = 71,234.48 × 30,395.64
  4. Step 4: Simplify right side
    51,614.40x = 2,165,217,609.67
  5. Step 5: Solve for x
    x = 2,165,217,609.67/51,614.40
  6. Step 6: Final answer
    x = 41,949.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.