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Finding the Fourth Proportional to 31,640.45, 43,664.72 and 17,494.20

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Solution

The fourth proportional to 31,640.45, 43,664.72 and 17,494.20 is: 24,142.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,640.45 : 43,664.72 = 17,494.20 : x
  2. Step 2: Convert to fraction form
    31,640.45/43,664.72 = 17,494.20/x
  3. Step 3: Cross multiply
    31,640.45x = 43,664.72 × 17,494.20
  4. Step 4: Simplify right side
    31,640.45x = 763,879,257.15
  5. Step 5: Solve for x
    x = 763,879,257.15/31,640.45
  6. Step 6: Final answer
    x = 24,142.49

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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.