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Finding the Fourth Proportional to 47,129.75, 65,035.20 and 27,745.59

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Solution

The fourth proportional to 47,129.75, 65,035.20 and 27,745.59 is: 38,286.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,129.75 : 65,035.20 = 27,745.59 : x
  2. Step 2: Convert to fraction form
    47,129.75/65,035.20 = 27,745.59/x
  3. Step 3: Cross multiply
    47,129.75x = 65,035.20 × 27,745.59
  4. Step 4: Simplify right side
    47,129.75x = 1,804,439,530.86
  5. Step 5: Solve for x
    x = 1,804,439,530.86/47,129.75
  6. Step 6: Final answer
    x = 38,286.63

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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.