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Finding the Fourth Proportional to 31,640.46, 43,664.72 and 17,494.22

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Solution

The fourth proportional to 31,640.46, 43,664.72 and 17,494.22 is: 24,142.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,640.46 : 43,664.72 = 17,494.22 : x
  2. Step 2: Convert to fraction form
    31,640.46/43,664.72 = 17,494.22/x
  3. Step 3: Cross multiply
    31,640.46x = 43,664.72 × 17,494.22
  4. Step 4: Simplify right side
    31,640.46x = 763,879,912.12
  5. Step 5: Solve for x
    x = 763,879,912.12/31,640.46
  6. Step 6: Final answer
    x = 24,142.50

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1.5x scale

Why These Related Problems?

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