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Finding the Fourth Proportional to 40,375.26, 55,670.19 and 27,634.58

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Solution

The fourth proportional to 40,375.26, 55,670.19 and 27,634.58 is: 38,103.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,375.26 : 55,670.19 = 27,634.58 : x
  2. Step 2: Convert to fraction form
    40,375.26/55,670.19 = 27,634.58/x
  3. Step 3: Cross multiply
    40,375.26x = 55,670.19 × 27,634.58
  4. Step 4: Simplify right side
    40,375.26x = 1,538,422,319.17
  5. Step 5: Solve for x
    x = 1,538,422,319.17/40,375.26
  6. Step 6: Final answer
    x = 38,103.09

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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.