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Finding the Fourth Proportional to 50,481.96, 75,724.18 and 24,157.80

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Solution

The fourth proportional to 50,481.96, 75,724.18 and 24,157.80 is: 36,237.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,481.96 : 75,724.18 = 24,157.80 : x
  2. Step 2: Convert to fraction form
    50,481.96/75,724.18 = 24,157.80/x
  3. Step 3: Cross multiply
    50,481.96x = 75,724.18 × 24,157.80
  4. Step 4: Simplify right side
    50,481.96x = 1,829,329,595.60
  5. Step 5: Solve for x
    x = 1,829,329,595.60/50,481.96
  6. Step 6: Final answer
    x = 36,237.29

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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.