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Finding the Fourth Proportional to 34,131.73, 51,196 and 11,950.08

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Solution

The fourth proportional to 34,131.73, 51,196 and 11,950.08 is: 17,924.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,131.73 : 51,196 = 11,950.08 : x
  2. Step 2: Convert to fraction form
    34,131.73/51,196 = 11,950.08/x
  3. Step 3: Cross multiply
    34,131.73x = 51,196 × 11,950.08
  4. Step 4: Simplify right side
    34,131.73x = 611,796,295.68
  5. Step 5: Solve for x
    x = 611,796,295.68/34,131.73
  6. Step 6: Final answer
    x = 17,924.56

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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.