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Finding the Fourth Proportional to 33,205.44, 49,820 and 16,564

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Solution

The fourth proportional to 33,205.44, 49,820 and 16,564 is: 24,851.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,205.44 : 49,820 = 16,564 : x
  2. Step 2: Convert to fraction form
    33,205.44/49,820 = 16,564/x
  3. Step 3: Cross multiply
    33,205.44x = 49,820 × 16,564
  4. Step 4: Simplify right side
    33,205.44x = 825,218,480
  5. Step 5: Solve for x
    x = 825,218,480/33,205.44
  6. Step 6: Final answer
    x = 24,851.91

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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.