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Finding the Fourth Proportional to 52,072.27, 71,859.80 and 28,198.98

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Solution

The fourth proportional to 52,072.27, 71,859.80 and 28,198.98 is: 38,914.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,072.27 : 71,859.80 = 28,198.98 : x
  2. Step 2: Convert to fraction form
    52,072.27/71,859.80 = 28,198.98/x
  3. Step 3: Cross multiply
    52,072.27x = 71,859.80 × 28,198.98
  4. Step 4: Simplify right side
    52,072.27x = 2,026,373,063.00
  5. Step 5: Solve for x
    x = 2,026,373,063.00/52,072.27
  6. Step 6: Final answer
    x = 38,914.63

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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.