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Finding the Fourth Proportional to 33,053.46, 49,599.09 and 32,786.16

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Solution

The fourth proportional to 33,053.46, 49,599.09 and 32,786.16 is: 49,197.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,053.46 : 49,599.09 = 32,786.16 : x
  2. Step 2: Convert to fraction form
    33,053.46/49,599.09 = 32,786.16/x
  3. Step 3: Cross multiply
    33,053.46x = 49,599.09 × 32,786.16
  4. Step 4: Simplify right side
    33,053.46x = 1,626,163,700.59
  5. Step 5: Solve for x
    x = 1,626,163,700.59/33,053.46
  6. Step 6: Final answer
    x = 49,197.99

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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.