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Finding the Fourth Proportional to 52,078.87, 71,868.95 and 28,205.55

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Solution

The fourth proportional to 52,078.87, 71,868.95 and 28,205.55 is: 38,923.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,078.87 : 71,868.95 = 28,205.55 : x
  2. Step 2: Convert to fraction form
    52,078.87/71,868.95 = 28,205.55/x
  3. Step 3: Cross multiply
    52,078.87x = 71,868.95 × 28,205.55
  4. Step 4: Simplify right side
    52,078.87x = 2,027,103,451.28
  5. Step 5: Solve for x
    x = 2,027,103,451.28/52,078.87
  6. Step 6: Final answer
    x = 38,923.72

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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.