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Finding the Fourth Proportional to 33,199.80, 45,794.76 and 19,761

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Solution

The fourth proportional to 33,199.80, 45,794.76 and 19,761 is: 27,257.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,199.80 : 45,794.76 = 19,761 : x
  2. Step 2: Convert to fraction form
    33,199.80/45,794.76 = 19,761/x
  3. Step 3: Cross multiply
    33,199.80x = 45,794.76 × 19,761
  4. Step 4: Simplify right side
    33,199.80x = 904,950,252.36
  5. Step 5: Solve for x
    x = 904,950,252.36/33,199.80
  6. Step 6: Final answer
    x = 27,257.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.