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Finding the Fourth Proportional to 85,436.38, 117,893.46 and 49,633.96

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Solution

The fourth proportional to 85,436.38, 117,893.46 and 49,633.96 is: 68,489.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,436.38 : 117,893.46 = 49,633.96 : x
  2. Step 2: Convert to fraction form
    85,436.38/117,893.46 = 49,633.96/x
  3. Step 3: Cross multiply
    85,436.38x = 117,893.46 × 49,633.96
  4. Step 4: Simplify right side
    85,436.38x = 5,851,519,277.90
  5. Step 5: Solve for x
    x = 5,851,519,277.90/85,436.38
  6. Step 6: Final answer
    x = 68,489.78

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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.