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Finding the Fourth Proportional to 50,188.25, 75,269.76 and 20,614.25

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Solution

The fourth proportional to 50,188.25, 75,269.76 and 20,614.25 is: 30,916.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,188.25 : 75,269.76 = 20,614.25 : x
  2. Step 2: Convert to fraction form
    50,188.25/75,269.76 = 20,614.25/x
  3. Step 3: Cross multiply
    50,188.25x = 75,269.76 × 20,614.25
  4. Step 4: Simplify right side
    50,188.25x = 1,551,629,650.08
  5. Step 5: Solve for x
    x = 1,551,629,650.08/50,188.25
  6. Step 6: Final answer
    x = 30,916.19

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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.