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Finding the Fourth Proportional to 31,245.41, 46,873 and 10,180.56

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Solution

The fourth proportional to 31,245.41, 46,873 and 10,180.56 is: 15,272.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,245.41 : 46,873 = 10,180.56 : x
  2. Step 2: Convert to fraction form
    31,245.41/46,873 = 10,180.56/x
  3. Step 3: Cross multiply
    31,245.41x = 46,873 × 10,180.56
  4. Step 4: Simplify right side
    31,245.41x = 477,193,388.88
  5. Step 5: Solve for x
    x = 477,193,388.88/31,245.41
  6. Step 6: Final answer
    x = 15,272.43

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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.