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Finding the Fourth Proportional to 30,781.89, 46,166.05 and 8,589.31

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Solution

The fourth proportional to 30,781.89, 46,166.05 and 8,589.31 is: 12,882.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,781.89 : 46,166.05 = 8,589.31 : x
  2. Step 2: Convert to fraction form
    30,781.89/46,166.05 = 8,589.31/x
  3. Step 3: Cross multiply
    30,781.89x = 46,166.05 × 8,589.31
  4. Step 4: Simplify right side
    30,781.89x = 396,534,410.25
  5. Step 5: Solve for x
    x = 396,534,410.25/30,781.89
  6. Step 6: Final answer
    x = 12,882.07

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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.