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Finding the Fourth Proportional to 77,394.56, 116,091.84 and 61,910.60

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Solution

The fourth proportional to 77,394.56, 116,091.84 and 61,910.60 is: 92,865.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,394.56 : 116,091.84 = 61,910.60 : x
  2. Step 2: Convert to fraction form
    77,394.56/116,091.84 = 61,910.60/x
  3. Step 3: Cross multiply
    77,394.56x = 116,091.84 × 61,910.60
  4. Step 4: Simplify right side
    77,394.56x = 7,187,315,469.50
  5. Step 5: Solve for x
    x = 7,187,315,469.50/77,394.56
  6. Step 6: Final answer
    x = 92,865.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.