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Finding the Fourth Proportional to 49,926, 68,897.88 and 27,571.44

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Solution

The fourth proportional to 49,926, 68,897.88 and 27,571.44 is: 38,048.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,926 : 68,897.88 = 27,571.44 : x
  2. Step 2: Convert to fraction form
    49,926/68,897.88 = 27,571.44/x
  3. Step 3: Cross multiply
    49,926x = 68,897.88 × 27,571.44
  4. Step 4: Simplify right side
    49,926x = 1,899,613,764.55
  5. Step 5: Solve for x
    x = 1,899,613,764.55/49,926
  6. Step 6: Final answer
    x = 38,048.59

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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.