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Finding the Fourth Proportional to 31,043.78, 46,522.62 and 11,311.57

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Solution

The fourth proportional to 31,043.78, 46,522.62 and 11,311.57 is: 16,951.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,043.78 : 46,522.62 = 11,311.57 : x
  2. Step 2: Convert to fraction form
    31,043.78/46,522.62 = 11,311.57/x
  3. Step 3: Cross multiply
    31,043.78x = 46,522.62 × 11,311.57
  4. Step 4: Simplify right side
    31,043.78x = 526,244,013.99
  5. Step 5: Solve for x
    x = 526,244,013.99/31,043.78
  6. Step 6: Final answer
    x = 16,951.67

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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.