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Finding the Fourth Proportional to 31,745.91, 47,615.53 and 13,027.93

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Solution

The fourth proportional to 31,745.91, 47,615.53 and 13,027.93 is: 19,540.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,745.91 : 47,615.53 = 13,027.93 : x
  2. Step 2: Convert to fraction form
    31,745.91/47,615.53 = 13,027.93/x
  3. Step 3: Cross multiply
    31,745.91x = 47,615.53 × 13,027.93
  4. Step 4: Simplify right side
    31,745.91x = 620,331,791.75
  5. Step 5: Solve for x
    x = 620,331,791.75/31,745.91
  6. Step 6: Final answer
    x = 19,540.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.