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Finding the Fourth Proportional to 35,891.82, 49,532.64 and 19,976.61

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Solution

The fourth proportional to 35,891.82, 49,532.64 and 19,976.61 is: 27,568.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,891.82 : 49,532.64 = 19,976.61 : x
  2. Step 2: Convert to fraction form
    35,891.82/49,532.64 = 19,976.61/x
  3. Step 3: Cross multiply
    35,891.82x = 49,532.64 × 19,976.61
  4. Step 4: Simplify right side
    35,891.82x = 989,494,231.55
  5. Step 5: Solve for x
    x = 989,494,231.55/35,891.82
  6. Step 6: Final answer
    x = 27,568.80

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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.