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Finding the Fourth Proportional to 55,231.20, 82,857.60 and 23,641.20

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Solution

The fourth proportional to 55,231.20, 82,857.60 and 23,641.20 is: 35,466.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,231.20 : 82,857.60 = 23,641.20 : x
  2. Step 2: Convert to fraction form
    55,231.20/82,857.60 = 23,641.20/x
  3. Step 3: Cross multiply
    55,231.20x = 82,857.60 × 23,641.20
  4. Step 4: Simplify right side
    55,231.20x = 1,958,853,093.12
  5. Step 5: Solve for x
    x = 1,958,853,093.12/55,231.20
  6. Step 6: Final answer
    x = 35,466.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.