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Finding the Fourth Proportional to 106,651.72, 160,024.25 and 50,531.91

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Solution

The fourth proportional to 106,651.72, 160,024.25 and 50,531.91 is: 75,819.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,651.72 : 160,024.25 = 50,531.91 : x
  2. Step 2: Convert to fraction form
    106,651.72/160,024.25 = 50,531.91/x
  3. Step 3: Cross multiply
    106,651.72x = 160,024.25 × 50,531.91
  4. Step 4: Simplify right side
    106,651.72x = 8,086,330,998.82
  5. Step 5: Solve for x
    x = 8,086,330,998.82/106,651.72
  6. Step 6: Final answer
    x = 75,819.98

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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.