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Finding the Fourth Proportional to 32,197, 44,422.08 and 20,272.24

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Solution

The fourth proportional to 32,197, 44,422.08 and 20,272.24 is: 27,969.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,197 : 44,422.08 = 20,272.24 : x
  2. Step 2: Convert to fraction form
    32,197/44,422.08 = 20,272.24/x
  3. Step 3: Cross multiply
    32,197x = 44,422.08 × 20,272.24
  4. Step 4: Simplify right side
    32,197x = 900,535,067.06
  5. Step 5: Solve for x
    x = 900,535,067.06/32,197
  6. Step 6: Final answer
    x = 27,969.53

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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.