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Finding the Fourth Proportional to 51,954.69, 71,696.97 and 28,984.71

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Solution

The fourth proportional to 51,954.69, 71,696.97 and 28,984.71 is: 39,998.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,954.69 : 71,696.97 = 28,984.71 : x
  2. Step 2: Convert to fraction form
    51,954.69/71,696.97 = 28,984.71/x
  3. Step 3: Cross multiply
    51,954.69x = 71,696.97 × 28,984.71
  4. Step 4: Simplify right side
    51,954.69x = 2,078,115,883.33
  5. Step 5: Solve for x
    x = 2,078,115,883.33/51,954.69
  6. Step 6: Final answer
    x = 39,998.62

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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.