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Finding the Fourth Proportional to 82,163.91, 123,299.72 and 28,854.50

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Solution

The fourth proportional to 82,163.91, 123,299.72 and 28,854.50 is: 43,300.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,163.91 : 123,299.72 = 28,854.50 : x
  2. Step 2: Convert to fraction form
    82,163.91/123,299.72 = 28,854.50/x
  3. Step 3: Cross multiply
    82,163.91x = 123,299.72 × 28,854.50
  4. Step 4: Simplify right side
    82,163.91x = 3,557,751,118.17
  5. Step 5: Solve for x
    x = 3,557,751,118.17/82,163.91
  6. Step 6: Final answer
    x = 43,300.65

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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.