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Finding the Fourth Proportional to 54,613.60, 81,856.46 and 20,857.50

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Solution

The fourth proportional to 54,613.60, 81,856.46 and 20,857.50 is: 31,261.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,613.60 : 81,856.46 = 20,857.50 : x
  2. Step 2: Convert to fraction form
    54,613.60/81,856.46 = 20,857.50/x
  3. Step 3: Cross multiply
    54,613.60x = 81,856.46 × 20,857.50
  4. Step 4: Simplify right side
    54,613.60x = 1,707,321,114.45
  5. Step 5: Solve for x
    x = 1,707,321,114.45/54,613.60
  6. Step 6: Final answer
    x = 31,261.83

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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.