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Finding the Fourth Proportional to 33,169.50, 49,754.25 and 9,797.76

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Solution

The fourth proportional to 33,169.50, 49,754.25 and 9,797.76 is: 14,696.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,169.50 : 49,754.25 = 9,797.76 : x
  2. Step 2: Convert to fraction form
    33,169.50/49,754.25 = 9,797.76/x
  3. Step 3: Cross multiply
    33,169.50x = 49,754.25 × 9,797.76
  4. Step 4: Simplify right side
    33,169.50x = 487,480,200.48
  5. Step 5: Solve for x
    x = 487,480,200.48/33,169.50
  6. Step 6: Final answer
    x = 14,696.64

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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.