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Finding the Fourth Proportional to 31,997.49, 47,957.32 and 22,640.21

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Solution

The fourth proportional to 31,997.49, 47,957.32 and 22,640.21 is: 33,932.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,997.49 : 47,957.32 = 22,640.21 : x
  2. Step 2: Convert to fraction form
    31,997.49/47,957.32 = 22,640.21/x
  3. Step 3: Cross multiply
    31,997.49x = 47,957.32 × 22,640.21
  4. Step 4: Simplify right side
    31,997.49x = 1,085,763,636.84
  5. Step 5: Solve for x
    x = 1,085,763,636.84/31,997.49
  6. Step 6: Final answer
    x = 33,932.78

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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.