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Finding the Fourth Proportional to 36,634, 50,554.95 and 19,867

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Solution

The fourth proportional to 36,634, 50,554.95 and 19,867 is: 27,416.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,634 : 50,554.95 = 19,867 : x
  2. Step 2: Convert to fraction form
    36,634/50,554.95 = 19,867/x
  3. Step 3: Cross multiply
    36,634x = 50,554.95 × 19,867
  4. Step 4: Simplify right side
    36,634x = 1,004,375,191.65
  5. Step 5: Solve for x
    x = 1,004,375,191.65/36,634
  6. Step 6: Final answer
    x = 27,416.48

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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.