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Finding the Fourth Proportional to 82,433.70, 123,658.38 and 22,462.92

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Solution

The fourth proportional to 82,433.70, 123,658.38 and 22,462.92 is: 33,696.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,433.70 : 123,658.38 = 22,462.92 : x
  2. Step 2: Convert to fraction form
    82,433.70/123,658.38 = 22,462.92/x
  3. Step 3: Cross multiply
    82,433.70x = 123,658.38 × 22,462.92
  4. Step 4: Simplify right side
    82,433.70x = 2,777,728,297.27
  5. Step 5: Solve for x
    x = 2,777,728,297.27/82,433.70
  6. Step 6: Final answer
    x = 33,696.51

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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.