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Finding the Fourth Proportional to 33,121, 49,695.90 and 16,497.64

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Solution

The fourth proportional to 33,121, 49,695.90 and 16,497.64 is: 24,753.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,121 : 49,695.90 = 16,497.64 : x
  2. Step 2: Convert to fraction form
    33,121/49,695.90 = 16,497.64/x
  3. Step 3: Cross multiply
    33,121x = 49,695.90 × 16,497.64
  4. Step 4: Simplify right side
    33,121x = 819,865,067.68
  5. Step 5: Solve for x
    x = 819,865,067.68/33,121
  6. Step 6: Final answer
    x = 24,753.63

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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.