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Finding the Fourth Proportional to 31,803.41, 47,660.97 and 14,007.38

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Solution

The fourth proportional to 31,803.41, 47,660.97 and 14,007.38 is: 20,991.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,803.41 : 47,660.97 = 14,007.38 : x
  2. Step 2: Convert to fraction form
    31,803.41/47,660.97 = 14,007.38/x
  3. Step 3: Cross multiply
    31,803.41x = 47,660.97 × 14,007.38
  4. Step 4: Simplify right side
    31,803.41x = 667,605,400.27
  5. Step 5: Solve for x
    x = 667,605,400.27/31,803.41
  6. Step 6: Final answer
    x = 20,991.63

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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.