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Finding the Fourth Proportional to 75,486.68, 113,230.50 and 22,178.43

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Solution

The fourth proportional to 75,486.68, 113,230.50 and 22,178.43 is: 33,267.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,486.68 : 113,230.50 = 22,178.43 : x
  2. Step 2: Convert to fraction form
    75,486.68/113,230.50 = 22,178.43/x
  3. Step 3: Cross multiply
    75,486.68x = 113,230.50 × 22,178.43
  4. Step 4: Simplify right side
    75,486.68x = 2,511,275,015.78
  5. Step 5: Solve for x
    x = 2,511,275,015.78/75,486.68
  6. Step 6: Final answer
    x = 33,267.79

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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.