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Finding the Fourth Proportional to 82,494, 123,741 and 29,903.54

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Solution

The fourth proportional to 82,494, 123,741 and 29,903.54 is: 44,855.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,494 : 123,741 = 29,903.54 : x
  2. Step 2: Convert to fraction form
    82,494/123,741 = 29,903.54/x
  3. Step 3: Cross multiply
    82,494x = 123,741 × 29,903.54
  4. Step 4: Simplify right side
    82,494x = 3,700,293,324.44
  5. Step 5: Solve for x
    x = 3,700,293,324.44/82,494
  6. Step 6: Final answer
    x = 44,855.30

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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.