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Finding the Fourth Proportional to 30,906.56, 46,344.50 and 9,843.84

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Solution

The fourth proportional to 30,906.56, 46,344.50 and 9,843.84 is: 14,760.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,906.56 : 46,344.50 = 9,843.84 : x
  2. Step 2: Convert to fraction form
    30,906.56/46,344.50 = 9,843.84/x
  3. Step 3: Cross multiply
    30,906.56x = 46,344.50 × 9,843.84
  4. Step 4: Simplify right side
    30,906.56x = 456,207,793.66
  5. Step 5: Solve for x
    x = 456,207,793.66/30,906.56
  6. Step 6: Final answer
    x = 14,760.87

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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.