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Finding the Fourth Proportional to 33,184.80, 49,777.11 and 27,329.04

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Solution

The fourth proportional to 33,184.80, 49,777.11 and 27,329.04 is: 40,993.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,184.80 : 49,777.11 = 27,329.04 : x
  2. Step 2: Convert to fraction form
    33,184.80/49,777.11 = 27,329.04/x
  3. Step 3: Cross multiply
    33,184.80x = 49,777.11 × 27,329.04
  4. Step 4: Simplify right side
    33,184.80x = 1,360,360,630.27
  5. Step 5: Solve for x
    x = 1,360,360,630.27/33,184.80
  6. Step 6: Final answer
    x = 40,993.49

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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.