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Finding the Fourth Proportional to 31,674.69, 47,525.27 and 13,896.17

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Solution

The fourth proportional to 31,674.69, 47,525.27 and 13,896.17 is: 20,850.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,674.69 : 47,525.27 = 13,896.17 : x
  2. Step 2: Convert to fraction form
    31,674.69/47,525.27 = 13,896.17/x
  3. Step 3: Cross multiply
    31,674.69x = 47,525.27 × 13,896.17
  4. Step 4: Simplify right side
    31,674.69x = 660,419,231.22
  5. Step 5: Solve for x
    x = 660,419,231.22/31,674.69
  6. Step 6: Final answer
    x = 20,850.06

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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.