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Finding the Fourth Proportional to 33,638.40, 50,457.60 and 16,099.20

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Solution

The fourth proportional to 33,638.40, 50,457.60 and 16,099.20 is: 24,148.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,638.40 : 50,457.60 = 16,099.20 : x
  2. Step 2: Convert to fraction form
    33,638.40/50,457.60 = 16,099.20/x
  3. Step 3: Cross multiply
    33,638.40x = 50,457.60 × 16,099.20
  4. Step 4: Simplify right side
    33,638.40x = 812,326,993.92
  5. Step 5: Solve for x
    x = 812,326,993.92/33,638.40
  6. Step 6: Final answer
    x = 24,148.80

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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.