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Finding the Fourth Proportional to 37,867.50, 52,257.17 and 21,961.17

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Solution

The fourth proportional to 37,867.50, 52,257.17 and 21,961.17 is: 30,306.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,867.50 : 52,257.17 = 21,961.17 : x
  2. Step 2: Convert to fraction form
    37,867.50/52,257.17 = 21,961.17/x
  3. Step 3: Cross multiply
    37,867.50x = 52,257.17 × 21,961.17
  4. Step 4: Simplify right side
    37,867.50x = 1,147,628,484.28
  5. Step 5: Solve for x
    x = 1,147,628,484.28/37,867.50
  6. Step 6: Final answer
    x = 30,306.42

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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.