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Finding the Fourth Proportional to 30,843.82, 42,519.90 and 20,215

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Solution

The fourth proportional to 30,843.82, 42,519.90 and 20,215 is: 27,867.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,843.82 : 42,519.90 = 20,215 : x
  2. Step 2: Convert to fraction form
    30,843.82/42,519.90 = 20,215/x
  3. Step 3: Cross multiply
    30,843.82x = 42,519.90 × 20,215
  4. Step 4: Simplify right side
    30,843.82x = 859,539,778.50
  5. Step 5: Solve for x
    x = 859,539,778.50/30,843.82
  6. Step 6: Final answer
    x = 27,867.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.