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Finding the Fourth Proportional to 50,535.87, 75,762.18 and 20,144.07

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Solution

The fourth proportional to 50,535.87, 75,762.18 and 20,144.07 is: 30,199.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,535.87 : 75,762.18 = 20,144.07 : x
  2. Step 2: Convert to fraction form
    50,535.87/75,762.18 = 20,144.07/x
  3. Step 3: Cross multiply
    50,535.87x = 75,762.18 × 20,144.07
  4. Step 4: Simplify right side
    50,535.87x = 1,526,158,657.27
  5. Step 5: Solve for x
    x = 1,526,158,657.27/50,535.87
  6. Step 6: Final answer
    x = 30,199.51

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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.