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Finding the Fourth Proportional to 30,843.41, 42,635.64 and 27,519.17

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Solution

The fourth proportional to 30,843.41, 42,635.64 and 27,519.17 is: 38,040.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,843.41 : 42,635.64 = 27,519.17 : x
  2. Step 2: Convert to fraction form
    30,843.41/42,635.64 = 27,519.17/x
  3. Step 3: Cross multiply
    30,843.41x = 42,635.64 × 27,519.17
  4. Step 4: Simplify right side
    30,843.41x = 1,173,297,212.04
  5. Step 5: Solve for x
    x = 1,173,297,212.04/30,843.41
  6. Step 6: Final answer
    x = 38,040.46

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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.