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Finding the Fourth Proportional to 31,735.54, 47,586.67 and 10,954.10

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Solution

The fourth proportional to 31,735.54, 47,586.67 and 10,954.10 is: 16,425.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,735.54 : 47,586.67 = 10,954.10 : x
  2. Step 2: Convert to fraction form
    31,735.54/47,586.67 = 10,954.10/x
  3. Step 3: Cross multiply
    31,735.54x = 47,586.67 × 10,954.10
  4. Step 4: Simplify right side
    31,735.54x = 521,269,141.85
  5. Step 5: Solve for x
    x = 521,269,141.85/31,735.54
  6. Step 6: Final answer
    x = 16,425.41

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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.