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Finding the Fourth Proportional to 75,634.20, 113,451.30 and 20,230.20

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Solution

The fourth proportional to 75,634.20, 113,451.30 and 20,230.20 is: 30,345.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,634.20 : 113,451.30 = 20,230.20 : x
  2. Step 2: Convert to fraction form
    75,634.20/113,451.30 = 20,230.20/x
  3. Step 3: Cross multiply
    75,634.20x = 113,451.30 × 20,230.20
  4. Step 4: Simplify right side
    75,634.20x = 2,295,142,489.26
  5. Step 5: Solve for x
    x = 2,295,142,489.26/75,634.20
  6. Step 6: Final answer
    x = 30,345.30

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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.