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Finding the Fourth Proportional to 82,408.97, 123,616.49 and 23,246.22

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Solution

The fourth proportional to 82,408.97, 123,616.49 and 23,246.22 is: 34,870.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,408.97 : 123,616.49 = 23,246.22 : x
  2. Step 2: Convert to fraction form
    82,408.97/123,616.49 = 23,246.22/x
  3. Step 3: Cross multiply
    82,408.97x = 123,616.49 × 23,246.22
  4. Step 4: Simplify right side
    82,408.97x = 2,873,616,122.17
  5. Step 5: Solve for x
    x = 2,873,616,122.17/82,408.97
  6. Step 6: Final answer
    x = 34,870.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.