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Finding the Fourth Proportional to 52,067.16, 71,852.58 and 28,194

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Solution

The fourth proportional to 52,067.16, 71,852.58 and 28,194 is: 38,907.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,067.16 : 71,852.58 = 28,194 : x
  2. Step 2: Convert to fraction form
    52,067.16/71,852.58 = 28,194/x
  3. Step 3: Cross multiply
    52,067.16x = 71,852.58 × 28,194
  4. Step 4: Simplify right side
    52,067.16x = 2,025,811,640.52
  5. Step 5: Solve for x
    x = 2,025,811,640.52/52,067.16
  6. Step 6: Final answer
    x = 38,907.67

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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.