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Finding the Fourth Proportional to 57,286.76, 85,934.75 and 21,765.09

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Solution

The fourth proportional to 57,286.76, 85,934.75 and 21,765.09 is: 32,649.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,286.76 : 85,934.75 = 21,765.09 : x
  2. Step 2: Convert to fraction form
    57,286.76/85,934.75 = 21,765.09/x
  3. Step 3: Cross multiply
    57,286.76x = 85,934.75 × 21,765.09
  4. Step 4: Simplify right side
    57,286.76x = 1,870,377,721.68
  5. Step 5: Solve for x
    x = 1,870,377,721.68/57,286.76
  6. Step 6: Final answer
    x = 32,649.39

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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.