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Finding the Fourth Proportional to 51,983.22, 71,736.90 and 28,109.91

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Solution

The fourth proportional to 51,983.22, 71,736.90 and 28,109.91 is: 38,791.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,983.22 : 71,736.90 = 28,109.91 : x
  2. Step 2: Convert to fraction form
    51,983.22/71,736.90 = 28,109.91/x
  3. Step 3: Cross multiply
    51,983.22x = 71,736.90 × 28,109.91
  4. Step 4: Simplify right side
    51,983.22x = 2,016,517,802.68
  5. Step 5: Solve for x
    x = 2,016,517,802.68/51,983.22
  6. Step 6: Final answer
    x = 38,791.71

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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.