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Finding the Fourth Proportional to 50,542.56, 75,781.44 and 20,980.80

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Solution

The fourth proportional to 50,542.56, 75,781.44 and 20,980.80 is: 31,457.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,542.56 : 75,781.44 = 20,980.80 : x
  2. Step 2: Convert to fraction form
    50,542.56/75,781.44 = 20,980.80/x
  3. Step 3: Cross multiply
    50,542.56x = 75,781.44 × 20,980.80
  4. Step 4: Simplify right side
    50,542.56x = 1,589,955,236.35
  5. Step 5: Solve for x
    x = 1,589,955,236.35/50,542.56
  6. Step 6: Final answer
    x = 31,457.75

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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.