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Finding the Fourth Proportional to 75,850.25, 113,775.38 and 20,446.25

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Solution

The fourth proportional to 75,850.25, 113,775.38 and 20,446.25 is: 30,669.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,850.25 : 113,775.38 = 20,446.25 : x
  2. Step 2: Convert to fraction form
    75,850.25/113,775.38 = 20,446.25/x
  3. Step 3: Cross multiply
    75,850.25x = 113,775.38 × 20,446.25
  4. Step 4: Simplify right side
    75,850.25x = 2,326,279,761.09
  5. Step 5: Solve for x
    x = 2,326,279,761.09/75,850.25
  6. Step 6: Final answer
    x = 30,669.38

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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.