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Finding the Fourth Proportional to 51,713.16, 71,396.82 and 35,791.80

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Solution

The fourth proportional to 51,713.16, 71,396.82 and 35,791.80 is: 49,415.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,713.16 : 71,396.82 = 35,791.80 : x
  2. Step 2: Convert to fraction form
    51,713.16/71,396.82 = 35,791.80/x
  3. Step 3: Cross multiply
    51,713.16x = 71,396.82 × 35,791.80
  4. Step 4: Simplify right side
    51,713.16x = 2,555,420,702.08
  5. Step 5: Solve for x
    x = 2,555,420,702.08/51,713.16
  6. Step 6: Final answer
    x = 49,415.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.