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Finding the Fourth Proportional to 57,857.21, 86,835.12 and 22,821.47

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Solution

The fourth proportional to 57,857.21, 86,835.12 and 22,821.47 is: 34,251.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,857.21 : 86,835.12 = 22,821.47 : x
  2. Step 2: Convert to fraction form
    57,857.21/86,835.12 = 22,821.47/x
  3. Step 3: Cross multiply
    57,857.21x = 86,835.12 × 22,821.47
  4. Step 4: Simplify right side
    57,857.21x = 1,981,705,086.03
  5. Step 5: Solve for x
    x = 1,981,705,086.03/57,857.21
  6. Step 6: Final answer
    x = 34,251.65

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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.