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Finding the Fourth Proportional to 72,202.14, 108,321.66 and 27,817

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Solution

The fourth proportional to 72,202.14, 108,321.66 and 27,817 is: 41,732.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,202.14 : 108,321.66 = 27,817 : x
  2. Step 2: Convert to fraction form
    72,202.14/108,321.66 = 27,817/x
  3. Step 3: Cross multiply
    72,202.14x = 108,321.66 × 27,817
  4. Step 4: Simplify right side
    72,202.14x = 3,013,183,616.22
  5. Step 5: Solve for x
    x = 3,013,183,616.22/72,202.14
  6. Step 6: Final answer
    x = 41,732.61

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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.