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Finding the Fourth Proportional to 83,596, 125,394 and 28,192

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Solution

The fourth proportional to 83,596, 125,394 and 28,192 is: 42,288

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,596 : 125,394 = 28,192 : x
  2. Step 2: Convert to fraction form
    83,596/125,394 = 28,192/x
  3. Step 3: Cross multiply
    83,596x = 125,394 × 28,192
  4. Step 4: Simplify right side
    83,596x = 3,535,107,648
  5. Step 5: Solve for x
    x = 3,535,107,648/83,596
  6. Step 6: Final answer
    x = 42,288

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.