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Finding the Fourth Proportional to 30,096.70, 41,540.36 and 20,025.57

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Solution

The fourth proportional to 30,096.70, 41,540.36 and 20,025.57 is: 27,639.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,096.70 : 41,540.36 = 20,025.57 : x
  2. Step 2: Convert to fraction form
    30,096.70/41,540.36 = 20,025.57/x
  3. Step 3: Cross multiply
    30,096.70x = 41,540.36 × 20,025.57
  4. Step 4: Simplify right side
    30,096.70x = 831,869,079.18
  5. Step 5: Solve for x
    x = 831,869,079.18/30,096.70
  6. Step 6: Final answer
    x = 27,639.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.