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Finding the Fourth Proportional to 80,162.92, 110,604.92 and 51,834.52

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Solution

The fourth proportional to 80,162.92, 110,604.92 and 51,834.52 is: 71,518.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,162.92 : 110,604.92 = 51,834.52 : x
  2. Step 2: Convert to fraction form
    80,162.92/110,604.92 = 51,834.52/x
  3. Step 3: Cross multiply
    80,162.92x = 110,604.92 × 51,834.52
  4. Step 4: Simplify right side
    80,162.92x = 5,733,152,937.84
  5. Step 5: Solve for x
    x = 5,733,152,937.84/80,162.92
  6. Step 6: Final answer
    x = 71,518.76

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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.