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Finding the Fourth Proportional to 83,028.38, 114,578.55 and 47,218.34

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Solution

The fourth proportional to 83,028.38, 114,578.55 and 47,218.34 is: 65,160.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,028.38 : 114,578.55 = 47,218.34 : x
  2. Step 2: Convert to fraction form
    83,028.38/114,578.55 = 47,218.34/x
  3. Step 3: Cross multiply
    83,028.38x = 114,578.55 × 47,218.34
  4. Step 4: Simplify right side
    83,028.38x = 5,410,209,217.05
  5. Step 5: Solve for x
    x = 5,410,209,217.05/83,028.38
  6. Step 6: Final answer
    x = 65,160.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.