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Finding the Fourth Proportional to 83,893.92, 115,773.36 and 46,168.14

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Solution

The fourth proportional to 83,893.92, 115,773.36 and 46,168.14 is: 63,711.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,893.92 : 115,773.36 = 46,168.14 : x
  2. Step 2: Convert to fraction form
    83,893.92/115,773.36 = 46,168.14/x
  3. Step 3: Cross multiply
    83,893.92x = 115,773.36 × 46,168.14
  4. Step 4: Simplify right side
    83,893.92x = 5,345,040,692.75
  5. Step 5: Solve for x
    x = 5,345,040,692.75/83,893.92
  6. Step 6: Final answer
    x = 63,711.90

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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.