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Finding the Fourth Proportional to 85,324.91, 127,834.11 and 50,245.43

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Solution

The fourth proportional to 85,324.91, 127,834.11 and 50,245.43 is: 75,277.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,324.91 : 127,834.11 = 50,245.43 : x
  2. Step 2: Convert to fraction form
    85,324.91/127,834.11 = 50,245.43/x
  3. Step 3: Cross multiply
    85,324.91x = 127,834.11 × 50,245.43
  4. Step 4: Simplify right side
    85,324.91x = 6,423,079,186.45
  5. Step 5: Solve for x
    x = 6,423,079,186.45/85,324.91
  6. Step 6: Final answer
    x = 75,277.89

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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.