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Finding the Fourth Proportional to 82,267.22, 123,375.31 and 29,669.87

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Solution

The fourth proportional to 82,267.22, 123,375.31 and 29,669.87 is: 44,495.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,267.22 : 123,375.31 = 29,669.87 : x
  2. Step 2: Convert to fraction form
    82,267.22/123,375.31 = 29,669.87/x
  3. Step 3: Cross multiply
    82,267.22x = 123,375.31 × 29,669.87
  4. Step 4: Simplify right side
    82,267.22x = 3,660,529,408.91
  5. Step 5: Solve for x
    x = 3,660,529,408.91/82,267.22
  6. Step 6: Final answer
    x = 44,495.60

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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.