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Finding the Fourth Proportional to 30,906.56, 46,348.20 and 11,180.24

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Solution

The fourth proportional to 30,906.56, 46,348.20 and 11,180.24 is: 16,766.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,906.56 : 46,348.20 = 11,180.24 : x
  2. Step 2: Convert to fraction form
    30,906.56/46,348.20 = 11,180.24/x
  3. Step 3: Cross multiply
    30,906.56x = 46,348.20 × 11,180.24
  4. Step 4: Simplify right side
    30,906.56x = 518,183,999.57
  5. Step 5: Solve for x
    x = 518,183,999.57/30,906.56
  6. Step 6: Final answer
    x = 16,766.15

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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.