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Finding the Fourth Proportional to 76,446.20, 114,669.30 and 20,286.20

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Solution

The fourth proportional to 76,446.20, 114,669.30 and 20,286.20 is: 30,429.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,446.20 : 114,669.30 = 20,286.20 : x
  2. Step 2: Convert to fraction form
    76,446.20/114,669.30 = 20,286.20/x
  3. Step 3: Cross multiply
    76,446.20x = 114,669.30 × 20,286.20
  4. Step 4: Simplify right side
    76,446.20x = 2,326,204,353.66
  5. Step 5: Solve for x
    x = 2,326,204,353.66/76,446.20
  6. Step 6: Final answer
    x = 30,429.30

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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.