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Finding the Fourth Proportional to 47,644.14, 65,740.21 and 27,493.67

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Solution

The fourth proportional to 47,644.14, 65,740.21 and 27,493.67 is: 37,936.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,644.14 : 65,740.21 = 27,493.67 : x
  2. Step 2: Convert to fraction form
    47,644.14/65,740.21 = 27,493.67/x
  3. Step 3: Cross multiply
    47,644.14x = 65,740.21 × 27,493.67
  4. Step 4: Simplify right side
    47,644.14x = 1,807,439,173.30
  5. Step 5: Solve for x
    x = 1,807,439,173.30/47,644.14
  6. Step 6: Final answer
    x = 37,936.23

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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.