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Finding the Fourth Proportional to 31,951.69, 47,933.21 and 13,221.56

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Solution

The fourth proportional to 31,951.69, 47,933.21 and 13,221.56 is: 19,834.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,951.69 : 47,933.21 = 13,221.56 : x
  2. Step 2: Convert to fraction form
    31,951.69/47,933.21 = 13,221.56/x
  3. Step 3: Cross multiply
    31,951.69x = 47,933.21 × 13,221.56
  4. Step 4: Simplify right side
    31,951.69x = 633,751,964.89
  5. Step 5: Solve for x
    x = 633,751,964.89/31,951.69
  6. Step 6: Final answer
    x = 19,834.69

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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.