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Finding the Fourth Proportional to 51,174.44, 76,709.82 and 24,857

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Solution

The fourth proportional to 51,174.44, 76,709.82 and 24,857 is: 37,260.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,174.44 : 76,709.82 = 24,857 : x
  2. Step 2: Convert to fraction form
    51,174.44/76,709.82 = 24,857/x
  3. Step 3: Cross multiply
    51,174.44x = 76,709.82 × 24,857
  4. Step 4: Simplify right side
    51,174.44x = 1,906,775,995.74
  5. Step 5: Solve for x
    x = 1,906,775,995.74/51,174.44
  6. Step 6: Final answer
    x = 37,260.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.