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Finding the Fourth Proportional to 31,728.89, 43,802.84 and 20,255.33

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Solution

The fourth proportional to 31,728.89, 43,802.84 and 20,255.33 is: 27,963.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,728.89 : 43,802.84 = 20,255.33 : x
  2. Step 2: Convert to fraction form
    31,728.89/43,802.84 = 20,255.33/x
  3. Step 3: Cross multiply
    31,728.89x = 43,802.84 × 20,255.33
  4. Step 4: Simplify right side
    31,728.89x = 887,241,139.28
  5. Step 5: Solve for x
    x = 887,241,139.28/31,728.89
  6. Step 6: Final answer
    x = 27,963.19

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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.