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Finding the Fourth Proportional to 52,104.20, 71,903.70 and 28,231.47

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Solution

The fourth proportional to 52,104.20, 71,903.70 and 28,231.47 is: 38,959.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,104.20 : 71,903.70 = 28,231.47 : x
  2. Step 2: Convert to fraction form
    52,104.20/71,903.70 = 28,231.47/x
  3. Step 3: Cross multiply
    52,104.20x = 71,903.70 × 28,231.47
  4. Step 4: Simplify right side
    52,104.20x = 2,029,947,149.44
  5. Step 5: Solve for x
    x = 2,029,947,149.44/52,104.20
  6. Step 6: Final answer
    x = 38,959.38

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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.