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Finding the Fourth Proportional to 30,811.92, 42,522.60 and 23,244.96

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Solution

The fourth proportional to 30,811.92, 42,522.60 and 23,244.96 is: 32,079.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,811.92 : 42,522.60 = 23,244.96 : x
  2. Step 2: Convert to fraction form
    30,811.92/42,522.60 = 23,244.96/x
  3. Step 3: Cross multiply
    30,811.92x = 42,522.60 × 23,244.96
  4. Step 4: Simplify right side
    30,811.92x = 988,436,136.10
  5. Step 5: Solve for x
    x = 988,436,136.10/30,811.92
  6. Step 6: Final answer
    x = 32,079.67

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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.