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Finding the Fourth Proportional to 34,651.50, 51,980.49 and 11,271.66

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Solution

The fourth proportional to 34,651.50, 51,980.49 and 11,271.66 is: 16,908.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,651.50 : 51,980.49 = 11,271.66 : x
  2. Step 2: Convert to fraction form
    34,651.50/51,980.49 = 11,271.66/x
  3. Step 3: Cross multiply
    34,651.50x = 51,980.49 × 11,271.66
  4. Step 4: Simplify right side
    34,651.50x = 585,906,409.91
  5. Step 5: Solve for x
    x = 585,906,409.91/34,651.50
  6. Step 6: Final answer
    x = 16,908.54

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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.