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Finding the Fourth Proportional to 47,540.56, 65,605.80 and 27,401

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Solution

The fourth proportional to 47,540.56, 65,605.80 and 27,401 is: 37,813.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,540.56 : 65,605.80 = 27,401 : x
  2. Step 2: Convert to fraction form
    47,540.56/65,605.80 = 27,401/x
  3. Step 3: Cross multiply
    47,540.56x = 65,605.80 × 27,401
  4. Step 4: Simplify right side
    47,540.56x = 1,797,664,525.80
  5. Step 5: Solve for x
    x = 1,797,664,525.80/47,540.56
  6. Step 6: Final answer
    x = 37,813.28

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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.