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Finding the Fourth Proportional to 53,884.66, 80,974.67 and 50,827.70

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Solution

The fourth proportional to 53,884.66, 80,974.67 and 50,827.70 is: 76,380.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,884.66 : 80,974.67 = 50,827.70 : x
  2. Step 2: Convert to fraction form
    53,884.66/80,974.67 = 50,827.70/x
  3. Step 3: Cross multiply
    53,884.66x = 80,974.67 × 50,827.70
  4. Step 4: Simplify right side
    53,884.66x = 4,115,756,234.36
  5. Step 5: Solve for x
    x = 4,115,756,234.36/53,884.66
  6. Step 6: Final answer
    x = 76,380.85

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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.