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Finding the Fourth Proportional to 275,369.91, 413,049.87 and 75,689.52

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Solution

The fourth proportional to 275,369.91, 413,049.87 and 75,689.52 is: 113,532.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,369.91 : 413,049.87 = 75,689.52 : x
  2. Step 2: Convert to fraction form
    275,369.91/413,049.87 = 75,689.52/x
  3. Step 3: Cross multiply
    275,369.91x = 413,049.87 × 75,689.52
  4. Step 4: Simplify right side
    275,369.91x = 31,263,546,396.36
  5. Step 5: Solve for x
    x = 31,263,546,396.36/275,369.91
  6. Step 6: Final answer
    x = 113,532.91

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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.