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Finding the Fourth Proportional to 50,507.96, 75,735.24 and 22,415.80

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Solution

The fourth proportional to 50,507.96, 75,735.24 and 22,415.80 is: 33,611.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,507.96 : 75,735.24 = 22,415.80 : x
  2. Step 2: Convert to fraction form
    50,507.96/75,735.24 = 22,415.80/x
  3. Step 3: Cross multiply
    50,507.96x = 75,735.24 × 22,415.80
  4. Step 4: Simplify right side
    50,507.96x = 1,697,665,992.79
  5. Step 5: Solve for x
    x = 1,697,665,992.79/50,507.96
  6. Step 6: Final answer
    x = 33,611.85

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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.