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Finding the Fourth Proportional to 51,367.92, 77,046.36 and 34,834.08

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Solution

The fourth proportional to 51,367.92, 77,046.36 and 34,834.08 is: 52,247.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,367.92 : 77,046.36 = 34,834.08 : x
  2. Step 2: Convert to fraction form
    51,367.92/77,046.36 = 34,834.08/x
  3. Step 3: Cross multiply
    51,367.92x = 77,046.36 × 34,834.08
  4. Step 4: Simplify right side
    51,367.92x = 2,683,839,067.95
  5. Step 5: Solve for x
    x = 2,683,839,067.95/51,367.92
  6. Step 6: Final answer
    x = 52,247.38

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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.