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Finding the Fourth Proportional to 52,078.68, 71,868.21 and 28,204.80

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Solution

The fourth proportional to 52,078.68, 71,868.21 and 28,204.80 is: 38,922.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,078.68 : 71,868.21 = 28,204.80 : x
  2. Step 2: Convert to fraction form
    52,078.68/71,868.21 = 28,204.80/x
  3. Step 3: Cross multiply
    52,078.68x = 71,868.21 × 28,204.80
  4. Step 4: Simplify right side
    52,078.68x = 2,027,028,489.41
  5. Step 5: Solve for x
    x = 2,027,028,489.41/52,078.68
  6. Step 6: Final answer
    x = 38,922.42

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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.