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Finding the Fourth Proportional to 82,311.57, 123,461.22 and 29,721.11

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Solution

The fourth proportional to 82,311.57, 123,461.22 and 29,721.11 is: 44,579.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,311.57 : 123,461.22 = 29,721.11 : x
  2. Step 2: Convert to fraction form
    82,311.57/123,461.22 = 29,721.11/x
  3. Step 3: Cross multiply
    82,311.57x = 123,461.22 × 29,721.11
  4. Step 4: Simplify right side
    82,311.57x = 3,669,403,883.05
  5. Step 5: Solve for x
    x = 3,669,403,883.05/82,311.57
  6. Step 6: Final answer
    x = 44,579.44

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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.