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Finding the Fourth Proportional to 30,214.77, 45,324.21 and 8,027.66

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Solution

The fourth proportional to 30,214.77, 45,324.21 and 8,027.66 is: 12,042.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,214.77 : 45,324.21 = 8,027.66 : x
  2. Step 2: Convert to fraction form
    30,214.77/45,324.21 = 8,027.66/x
  3. Step 3: Cross multiply
    30,214.77x = 45,324.21 × 8,027.66
  4. Step 4: Simplify right side
    30,214.77x = 363,847,190.96
  5. Step 5: Solve for x
    x = 363,847,190.96/30,214.77
  6. Step 6: Final answer
    x = 12,042.03

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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.