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Finding the Fourth Proportional to 70,092.82, 96,751.16 and 55,778.90

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Solution

The fourth proportional to 70,092.82, 96,751.16 and 55,778.90 is: 76,993.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,092.82 : 96,751.16 = 55,778.90 : x
  2. Step 2: Convert to fraction form
    70,092.82/96,751.16 = 55,778.90/x
  3. Step 3: Cross multiply
    70,092.82x = 96,751.16 × 55,778.90
  4. Step 4: Simplify right side
    70,092.82x = 5,396,673,269.27
  5. Step 5: Solve for x
    x = 5,396,673,269.27/70,092.82
  6. Step 6: Final answer
    x = 76,993.24

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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.