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Finding the Fourth Proportional to 33,169.98, 49,755 and 9,812.82

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Solution

The fourth proportional to 33,169.98, 49,755 and 9,812.82 is: 14,719.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,169.98 : 49,755 = 9,812.82 : x
  2. Step 2: Convert to fraction form
    33,169.98/49,755 = 9,812.82/x
  3. Step 3: Cross multiply
    33,169.98x = 49,755 × 9,812.82
  4. Step 4: Simplify right side
    33,169.98x = 488,236,859.10
  5. Step 5: Solve for x
    x = 488,236,859.10/33,169.98
  6. Step 6: Final answer
    x = 14,719.24

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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.