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Finding the Fourth Proportional to 52,078.70, 71,868.58 and 28,205.37

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Solution

The fourth proportional to 52,078.70, 71,868.58 and 28,205.37 is: 38,923.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,078.70 : 71,868.58 = 28,205.37 : x
  2. Step 2: Convert to fraction form
    52,078.70/71,868.58 = 28,205.37/x
  3. Step 3: Cross multiply
    52,078.70x = 71,868.58 × 28,205.37
  4. Step 4: Simplify right side
    52,078.70x = 2,027,080,069.95
  5. Step 5: Solve for x
    x = 2,027,080,069.95/52,078.70
  6. Step 6: Final answer
    x = 38,923.40

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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.