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Finding the Fourth Proportional to 30,410.80, 45,617.36 and 8,224.18

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Solution

The fourth proportional to 30,410.80, 45,617.36 and 8,224.18 is: 12,336.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,410.80 : 45,617.36 = 8,224.18 : x
  2. Step 2: Convert to fraction form
    30,410.80/45,617.36 = 8,224.18/x
  3. Step 3: Cross multiply
    30,410.80x = 45,617.36 × 8,224.18
  4. Step 4: Simplify right side
    30,410.80x = 375,165,562.15
  5. Step 5: Solve for x
    x = 375,165,562.15/30,410.80
  6. Step 6: Final answer
    x = 12,336.59

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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.