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Finding the Fourth Proportional to 29,099, 43,650.30 and 8,324.12

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Solution

The fourth proportional to 29,099, 43,650.30 and 8,324.12 is: 12,486.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,099 : 43,650.30 = 8,324.12 : x
  2. Step 2: Convert to fraction form
    29,099/43,650.30 = 8,324.12/x
  3. Step 3: Cross multiply
    29,099x = 43,650.30 × 8,324.12
  4. Step 4: Simplify right side
    29,099x = 363,350,335.24
  5. Step 5: Solve for x
    x = 363,350,335.24/29,099
  6. Step 6: Final answer
    x = 12,486.69

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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.