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Finding the Fourth Proportional to 51,982.97, 71,736.54 and 28,109.66

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Solution

The fourth proportional to 51,982.97, 71,736.54 and 28,109.66 is: 38,791.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,982.97 : 71,736.54 = 28,109.66 : x
  2. Step 2: Convert to fraction form
    51,982.97/71,736.54 = 28,109.66/x
  3. Step 3: Cross multiply
    51,982.97x = 71,736.54 × 28,109.66
  4. Step 4: Simplify right side
    51,982.97x = 2,016,489,748.98
  5. Step 5: Solve for x
    x = 2,016,489,748.98/51,982.97
  6. Step 6: Final answer
    x = 38,791.35

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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.