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Finding the Fourth Proportional to 82,163.98, 123,249.04 and 22,998.10

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Solution

The fourth proportional to 82,163.98, 123,249.04 and 22,998.10 is: 34,498.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,163.98 : 123,249.04 = 22,998.10 : x
  2. Step 2: Convert to fraction form
    82,163.98/123,249.04 = 22,998.10/x
  3. Step 3: Cross multiply
    82,163.98x = 123,249.04 × 22,998.10
  4. Step 4: Simplify right side
    82,163.98x = 2,834,493,746.82
  5. Step 5: Solve for x
    x = 2,834,493,746.82/82,163.98
  6. Step 6: Final answer
    x = 34,498.01

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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.