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Finding the Fourth Proportional to 30,471.09, 45,685.17 and 11,735.43

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Solution

The fourth proportional to 30,471.09, 45,685.17 and 11,735.43 is: 17,594.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,471.09 : 45,685.17 = 11,735.43 : x
  2. Step 2: Convert to fraction form
    30,471.09/45,685.17 = 11,735.43/x
  3. Step 3: Cross multiply
    30,471.09x = 45,685.17 × 11,735.43
  4. Step 4: Simplify right side
    30,471.09x = 536,135,114.57
  5. Step 5: Solve for x
    x = 536,135,114.57/30,471.09
  6. Step 6: Final answer
    x = 17,594.88

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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.