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Finding the Fourth Proportional to 31,601.38, 47,409.87 and 9,414.67

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Solution

The fourth proportional to 31,601.38, 47,409.87 and 9,414.67 is: 14,124.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,601.38 : 47,409.87 = 9,414.67 : x
  2. Step 2: Convert to fraction form
    31,601.38/47,409.87 = 9,414.67/x
  3. Step 3: Cross multiply
    31,601.38x = 47,409.87 × 9,414.67
  4. Step 4: Simplify right side
    31,601.38x = 446,347,996.67
  5. Step 5: Solve for x
    x = 446,347,996.67/31,601.38
  6. Step 6: Final answer
    x = 14,124.32

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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.