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Finding the Fourth Proportional to 33,167.49, 49,751.12 and 13,446

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Solution

The fourth proportional to 33,167.49, 49,751.12 and 13,446 is: 20,168.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,167.49 : 49,751.12 = 13,446 : x
  2. Step 2: Convert to fraction form
    33,167.49/49,751.12 = 13,446/x
  3. Step 3: Cross multiply
    33,167.49x = 49,751.12 × 13,446
  4. Step 4: Simplify right side
    33,167.49x = 668,953,593.14
  5. Step 5: Solve for x
    x = 668,953,593.14/33,167.49
  6. Step 6: Final answer
    x = 20,168.95

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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.