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Finding the Fourth Proportional to 52,095.71, 71,891.97 and 28,222.97

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Solution

The fourth proportional to 52,095.71, 71,891.97 and 28,222.97 is: 38,947.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,095.71 : 71,891.97 = 28,222.97 : x
  2. Step 2: Convert to fraction form
    52,095.71/71,891.97 = 28,222.97/x
  3. Step 3: Cross multiply
    52,095.71x = 71,891.97 × 28,222.97
  4. Step 4: Simplify right side
    52,095.71x = 2,029,004,912.55
  5. Step 5: Solve for x
    x = 2,029,004,912.55/52,095.71
  6. Step 6: Final answer
    x = 38,947.64

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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.