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Finding the Fourth Proportional to 31,745.44, 47,616.69 and 13,020.85

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Solution

The fourth proportional to 31,745.44, 47,616.69 and 13,020.85 is: 19,530.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,745.44 : 47,616.69 = 13,020.85 : x
  2. Step 2: Convert to fraction form
    31,745.44/47,616.69 = 13,020.85/x
  3. Step 3: Cross multiply
    31,745.44x = 47,616.69 × 13,020.85
  4. Step 4: Simplify right side
    31,745.44x = 620,009,776.47
  5. Step 5: Solve for x
    x = 620,009,776.47/31,745.44
  6. Step 6: Final answer
    x = 19,530.67

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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.