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Finding the Fourth Proportional to 75,882.96, 113,765.49 and 49,172.52

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Solution

The fourth proportional to 75,882.96, 113,765.49 and 49,172.52 is: 73,720.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,882.96 : 113,765.49 = 49,172.52 : x
  2. Step 2: Convert to fraction form
    75,882.96/113,765.49 = 49,172.52/x
  3. Step 3: Cross multiply
    75,882.96x = 113,765.49 × 49,172.52
  4. Step 4: Simplify right side
    75,882.96x = 5,594,135,832.33
  5. Step 5: Solve for x
    x = 5,594,135,832.33/75,882.96
  6. Step 6: Final answer
    x = 73,720.58

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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.