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Finding the Fourth Proportional to 82,109.04, 123,163.82 and 22,944.32

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Solution

The fourth proportional to 82,109.04, 123,163.82 and 22,944.32 is: 34,416.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,109.04 : 123,163.82 = 22,944.32 : x
  2. Step 2: Convert to fraction form
    82,109.04/123,163.82 = 22,944.32/x
  3. Step 3: Cross multiply
    82,109.04x = 123,163.82 × 22,944.32
  4. Step 4: Simplify right side
    82,109.04x = 2,825,910,098.50
  5. Step 5: Solve for x
    x = 2,825,910,098.50/82,109.04
  6. Step 6: Final answer
    x = 34,416.55

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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.