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Finding the Fourth Proportional to 38,557.80, 53,198.10 and 22,633.20

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Solution

The fourth proportional to 38,557.80, 53,198.10 and 22,633.20 is: 31,226.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,557.80 : 53,198.10 = 22,633.20 : x
  2. Step 2: Convert to fraction form
    38,557.80/53,198.10 = 22,633.20/x
  3. Step 3: Cross multiply
    38,557.80x = 53,198.10 × 22,633.20
  4. Step 4: Simplify right side
    38,557.80x = 1,204,043,236.92
  5. Step 5: Solve for x
    x = 1,204,043,236.92/38,557.80
  6. Step 6: Final answer
    x = 31,226.97

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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.