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Finding the Fourth Proportional to 31,431.70, 43,375.75 and 17,284.54

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Solution

The fourth proportional to 31,431.70, 43,375.75 and 17,284.54 is: 23,852.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,431.70 : 43,375.75 = 17,284.54 : x
  2. Step 2: Convert to fraction form
    31,431.70/43,375.75 = 17,284.54/x
  3. Step 3: Cross multiply
    31,431.70x = 43,375.75 × 17,284.54
  4. Step 4: Simplify right side
    31,431.70x = 749,729,912.81
  5. Step 5: Solve for x
    x = 749,729,912.81/31,431.70
  6. Step 6: Final answer
    x = 23,852.67

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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.