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Finding the Fourth Proportional to 31,679.82, 47,532.45 and 11,963.94

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Solution

The fourth proportional to 31,679.82, 47,532.45 and 11,963.94 is: 17,950.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,679.82 : 47,532.45 = 11,963.94 : x
  2. Step 2: Convert to fraction form
    31,679.82/47,532.45 = 11,963.94/x
  3. Step 3: Cross multiply
    31,679.82x = 47,532.45 × 11,963.94
  4. Step 4: Simplify right side
    31,679.82x = 568,675,379.85
  5. Step 5: Solve for x
    x = 568,675,379.85/31,679.82
  6. Step 6: Final answer
    x = 17,950.71

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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.