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Finding the Fourth Proportional to 52,021.44, 71,789.06 and 28,147.58

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Solution

The fourth proportional to 52,021.44, 71,789.06 and 28,147.58 is: 38,843.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,021.44 : 71,789.06 = 28,147.58 : x
  2. Step 2: Convert to fraction form
    52,021.44/71,789.06 = 28,147.58/x
  3. Step 3: Cross multiply
    52,021.44x = 71,789.06 × 28,147.58
  4. Step 4: Simplify right side
    52,021.44x = 2,020,688,309.47
  5. Step 5: Solve for x
    x = 2,020,688,309.47/52,021.44
  6. Step 6: Final answer
    x = 38,843.38

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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.