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Finding the Fourth Proportional to 31,513.44, 43,449.12 and 20,164.32

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Solution

The fourth proportional to 31,513.44, 43,449.12 and 20,164.32 is: 27,801.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,513.44 : 43,449.12 = 20,164.32 : x
  2. Step 2: Convert to fraction form
    31,513.44/43,449.12 = 20,164.32/x
  3. Step 3: Cross multiply
    31,513.44x = 43,449.12 × 20,164.32
  4. Step 4: Simplify right side
    31,513.44x = 876,121,959.40
  5. Step 5: Solve for x
    x = 876,121,959.40/31,513.44
  6. Step 6: Final answer
    x = 27,801.53

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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.