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Finding the Fourth Proportional to 123,049.73, 184,617.43 and 38,822.90

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Solution

The fourth proportional to 123,049.73, 184,617.43 and 38,822.90 is: 58,247.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,049.73 : 184,617.43 = 38,822.90 : x
  2. Step 2: Convert to fraction form
    123,049.73/184,617.43 = 38,822.90/x
  3. Step 3: Cross multiply
    123,049.73x = 184,617.43 × 38,822.90
  4. Step 4: Simplify right side
    123,049.73x = 7,167,383,003.00
  5. Step 5: Solve for x
    x = 7,167,383,003.00/123,049.73
  6. Step 6: Final answer
    x = 58,247.86

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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.