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Finding the Fourth Proportional to 31,696.52, 43,728.72 and 20,364.32

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Solution

The fourth proportional to 31,696.52, 43,728.72 and 20,364.32 is: 28,094.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,696.52 : 43,728.72 = 20,364.32 : x
  2. Step 2: Convert to fraction form
    31,696.52/43,728.72 = 20,364.32/x
  3. Step 3: Cross multiply
    31,696.52x = 43,728.72 × 20,364.32
  4. Step 4: Simplify right side
    31,696.52x = 890,505,647.27
  5. Step 5: Solve for x
    x = 890,505,647.27/31,696.52
  6. Step 6: Final answer
    x = 28,094.75

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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.