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Finding the Fourth Proportional to 51,839.44, 71,525.72 and 29,174

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Solution

The fourth proportional to 51,839.44, 71,525.72 and 29,174 is: 40,252.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,839.44 : 71,525.72 = 29,174 : x
  2. Step 2: Convert to fraction form
    51,839.44/71,525.72 = 29,174/x
  3. Step 3: Cross multiply
    51,839.44x = 71,525.72 × 29,174
  4. Step 4: Simplify right side
    51,839.44x = 2,086,691,355.28
  5. Step 5: Solve for x
    x = 2,086,691,355.28/51,839.44
  6. Step 6: Final answer
    x = 40,252.97

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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.