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Finding the Fourth Proportional to 34,121.70, 51,211.30 and 14,414.40

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Solution

The fourth proportional to 34,121.70, 51,211.30 and 14,414.40 is: 21,633.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,121.70 : 51,211.30 = 14,414.40 : x
  2. Step 2: Convert to fraction form
    34,121.70/51,211.30 = 14,414.40/x
  3. Step 3: Cross multiply
    34,121.70x = 51,211.30 × 14,414.40
  4. Step 4: Simplify right side
    34,121.70x = 738,180,162.72
  5. Step 5: Solve for x
    x = 738,180,162.72/34,121.70
  6. Step 6: Final answer
    x = 21,633.75

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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.