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Finding the Fourth Proportional to 31,221.76, 43,072.95 and 20,469.21

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Solution

The fourth proportional to 31,221.76, 43,072.95 and 20,469.21 is: 28,238.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,221.76 : 43,072.95 = 20,469.21 : x
  2. Step 2: Convert to fraction form
    31,221.76/43,072.95 = 20,469.21/x
  3. Step 3: Cross multiply
    31,221.76x = 43,072.95 × 20,469.21
  4. Step 4: Simplify right side
    31,221.76x = 881,669,258.87
  5. Step 5: Solve for x
    x = 881,669,258.87/31,221.76
  6. Step 6: Final answer
    x = 28,238.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.