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Finding the Fourth Proportional to 37,825.34, 52,197.12 and 21,914.91

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Solution

The fourth proportional to 37,825.34, 52,197.12 and 21,914.91 is: 30,241.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,825.34 : 52,197.12 = 21,914.91 : x
  2. Step 2: Convert to fraction form
    37,825.34/52,197.12 = 21,914.91/x
  3. Step 3: Cross multiply
    37,825.34x = 52,197.12 × 21,914.91
  4. Step 4: Simplify right side
    37,825.34x = 1,143,895,187.06
  5. Step 5: Solve for x
    x = 1,143,895,187.06/37,825.34
  6. Step 6: Final answer
    x = 30,241.51

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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.