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Finding the Fourth Proportional to 31,393.44, 47,072.41 and 10,327.78

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Solution

The fourth proportional to 31,393.44, 47,072.41 and 10,327.78 is: 15,485.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,393.44 : 47,072.41 = 10,327.78 : x
  2. Step 2: Convert to fraction form
    31,393.44/47,072.41 = 10,327.78/x
  3. Step 3: Cross multiply
    31,393.44x = 47,072.41 × 10,327.78
  4. Step 4: Simplify right side
    31,393.44x = 486,153,494.55
  5. Step 5: Solve for x
    x = 486,153,494.55/31,393.44
  6. Step 6: Final answer
    x = 15,485.83

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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.