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Finding the Fourth Proportional to 82,406.97, 123,613.49 and 23,244.22

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Solution

The fourth proportional to 82,406.97, 123,613.49 and 23,244.22 is: 34,867.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,406.97 : 123,613.49 = 23,244.22 : x
  2. Step 2: Convert to fraction form
    82,406.97/123,613.49 = 23,244.22/x
  3. Step 3: Cross multiply
    82,406.97x = 123,613.49 × 23,244.22
  4. Step 4: Simplify right side
    82,406.97x = 2,873,298,673.83
  5. Step 5: Solve for x
    x = 2,873,298,673.83/82,406.97
  6. Step 6: Final answer
    x = 34,867.18

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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.