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Finding the Fourth Proportional to 55,276.14, 82,914.21 and 13,723.14

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Solution

The fourth proportional to 55,276.14, 82,914.21 and 13,723.14 is: 20,584.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,276.14 : 82,914.21 = 13,723.14 : x
  2. Step 2: Convert to fraction form
    55,276.14/82,914.21 = 13,723.14/x
  3. Step 3: Cross multiply
    55,276.14x = 82,914.21 × 13,723.14
  4. Step 4: Simplify right side
    55,276.14x = 1,137,843,311.82
  5. Step 5: Solve for x
    x = 1,137,843,311.82/55,276.14
  6. Step 6: Final answer
    x = 20,584.71

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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.