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Finding the Fourth Proportional to 30,489.89, 45,734.83 and 20,099.21

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Solution

The fourth proportional to 30,489.89, 45,734.83 and 20,099.21 is: 30,148.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,489.89 : 45,734.83 = 20,099.21 : x
  2. Step 2: Convert to fraction form
    30,489.89/45,734.83 = 20,099.21/x
  3. Step 3: Cross multiply
    30,489.89x = 45,734.83 × 20,099.21
  4. Step 4: Simplify right side
    30,489.89x = 919,233,623.31
  5. Step 5: Solve for x
    x = 919,233,623.31/30,489.89
  6. Step 6: Final answer
    x = 30,148.81

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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.