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Finding the Fourth Proportional to 55,229.42, 82,847.64 and 20,164.52

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Solution

The fourth proportional to 55,229.42, 82,847.64 and 20,164.52 is: 30,248.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,229.42 : 82,847.64 = 20,164.52 : x
  2. Step 2: Convert to fraction form
    55,229.42/82,847.64 = 20,164.52/x
  3. Step 3: Cross multiply
    55,229.42x = 82,847.64 × 20,164.52
  4. Step 4: Simplify right side
    55,229.42x = 1,670,582,893.73
  5. Step 5: Solve for x
    x = 1,670,582,893.73/55,229.42
  6. Step 6: Final answer
    x = 30,248.06

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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.