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Finding the Fourth Proportional to 20,032.68, 30,053.32 and 5,993.80

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Solution

The fourth proportional to 20,032.68, 30,053.32 and 5,993.80 is: 8,991.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,032.68 : 30,053.32 = 5,993.80 : x
  2. Step 2: Convert to fraction form
    20,032.68/30,053.32 = 5,993.80/x
  3. Step 3: Cross multiply
    20,032.68x = 30,053.32 × 5,993.80
  4. Step 4: Simplify right side
    20,032.68x = 180,133,589.42
  5. Step 5: Solve for x
    x = 180,133,589.42/20,032.68
  6. Step 6: Final answer
    x = 8,991.99

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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.