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Finding the Fourth Proportional to 77,993.38, 107,630.45 and 42,183.28

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Solution

The fourth proportional to 77,993.38, 107,630.45 and 42,183.28 is: 58,212.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,993.38 : 107,630.45 = 42,183.28 : x
  2. Step 2: Convert to fraction form
    77,993.38/107,630.45 = 42,183.28/x
  3. Step 3: Cross multiply
    77,993.38x = 107,630.45 × 42,183.28
  4. Step 4: Simplify right side
    77,993.38x = 4,540,204,870.72
  5. Step 5: Solve for x
    x = 4,540,204,870.72/77,993.38
  6. Step 6: Final answer
    x = 58,212.70

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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.