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Finding the Fourth Proportional to 33,298, 45,951.36 and 18,394

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Solution

The fourth proportional to 33,298, 45,951.36 and 18,394 is: 25,383.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,298 : 45,951.36 = 18,394 : x
  2. Step 2: Convert to fraction form
    33,298/45,951.36 = 18,394/x
  3. Step 3: Cross multiply
    33,298x = 45,951.36 × 18,394
  4. Step 4: Simplify right side
    33,298x = 845,229,315.84
  5. Step 5: Solve for x
    x = 845,229,315.84/33,298
  6. Step 6: Final answer
    x = 25,383.79

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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.