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Finding the Fourth Proportional to 51,917.96, 71,647.07 and 29,257.30

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Solution

The fourth proportional to 51,917.96, 71,647.07 and 29,257.30 is: 40,375.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,917.96 : 71,647.07 = 29,257.30 : x
  2. Step 2: Convert to fraction form
    51,917.96/71,647.07 = 29,257.30/x
  3. Step 3: Cross multiply
    51,917.96x = 71,647.07 × 29,257.30
  4. Step 4: Simplify right side
    51,917.96x = 2,096,199,764.38
  5. Step 5: Solve for x
    x = 2,096,199,764.38/51,917.96
  6. Step 6: Final answer
    x = 40,375.23

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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.