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Finding the Fourth Proportional to 33,206.44, 49,821.50 and 16,565

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Solution

The fourth proportional to 33,206.44, 49,821.50 and 16,565 is: 24,853.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,206.44 : 49,821.50 = 16,565 : x
  2. Step 2: Convert to fraction form
    33,206.44/49,821.50 = 16,565/x
  3. Step 3: Cross multiply
    33,206.44x = 49,821.50 × 16,565
  4. Step 4: Simplify right side
    33,206.44x = 825,293,147.50
  5. Step 5: Solve for x
    x = 825,293,147.50/33,206.44
  6. Step 6: Final answer
    x = 24,853.41

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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.