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Finding the Fourth Proportional to 77,461.92, 116,183.97 and 24,157.98

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Solution

The fourth proportional to 77,461.92, 116,183.97 and 24,157.98 is: 36,234.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,461.92 : 116,183.97 = 24,157.98 : x
  2. Step 2: Convert to fraction form
    77,461.92/116,183.97 = 24,157.98/x
  3. Step 3: Cross multiply
    77,461.92x = 116,183.97 × 24,157.98
  4. Step 4: Simplify right side
    77,461.92x = 2,806,770,023.58
  5. Step 5: Solve for x
    x = 2,806,770,023.58/77,461.92
  6. Step 6: Final answer
    x = 36,234.19

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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.