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Finding the Fourth Proportional to 77,993.88, 107,631.14 and 42,183.78

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Solution

The fourth proportional to 77,993.88, 107,631.14 and 42,183.78 is: 58,213.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,993.88 : 107,631.14 = 42,183.78 : x
  2. Step 2: Convert to fraction form
    77,993.88/107,631.14 = 42,183.78/x
  3. Step 3: Cross multiply
    77,993.88x = 107,631.14 × 42,183.78
  4. Step 4: Simplify right side
    77,993.88x = 4,540,288,330.91
  5. Step 5: Solve for x
    x = 4,540,288,330.91/77,993.88
  6. Step 6: Final answer
    x = 58,213.39

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1.5x scale

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.