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Finding the Fourth Proportional to 31,320, 43,231.32 and 20,142

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Solution

The fourth proportional to 31,320, 43,231.32 and 20,142 is: 27,802.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,320 : 43,231.32 = 20,142 : x
  2. Step 2: Convert to fraction form
    31,320/43,231.32 = 20,142/x
  3. Step 3: Cross multiply
    31,320x = 43,231.32 × 20,142
  4. Step 4: Simplify right side
    31,320x = 870,765,247.44
  5. Step 5: Solve for x
    x = 870,765,247.44/31,320
  6. Step 6: Final answer
    x = 27,802.21

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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.