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Finding the Fourth Proportional to 123,185.49, 184,778.23 and 29,691.24

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Solution

The fourth proportional to 123,185.49, 184,778.23 and 29,691.24 is: 44,536.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,185.49 : 184,778.23 = 29,691.24 : x
  2. Step 2: Convert to fraction form
    123,185.49/184,778.23 = 29,691.24/x
  3. Step 3: Cross multiply
    123,185.49x = 184,778.23 × 29,691.24
  4. Step 4: Simplify right side
    123,185.49x = 5,486,294,773.71
  5. Step 5: Solve for x
    x = 5,486,294,773.71/123,185.49
  6. Step 6: Final answer
    x = 44,536.86

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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.