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Finding the Fourth Proportional to 70,834.97, 106,136.97 and 41,277.71

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Solution

The fourth proportional to 70,834.97, 106,136.97 and 41,277.71 is: 61,849.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,834.97 : 106,136.97 = 41,277.71 : x
  2. Step 2: Convert to fraction form
    70,834.97/106,136.97 = 41,277.71/x
  3. Step 3: Cross multiply
    70,834.97x = 106,136.97 × 41,277.71
  4. Step 4: Simplify right side
    70,834.97x = 4,381,091,067.94
  5. Step 5: Solve for x
    x = 4,381,091,067.94/70,834.97
  6. Step 6: Final answer
    x = 61,849.27

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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.