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Finding the Fourth Proportional to 34,169.45, 51,235.03 and 11,974.13

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Solution

The fourth proportional to 34,169.45, 51,235.03 and 11,974.13 is: 17,954.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,169.45 : 51,235.03 = 11,974.13 : x
  2. Step 2: Convert to fraction form
    34,169.45/51,235.03 = 11,974.13/x
  3. Step 3: Cross multiply
    34,169.45x = 51,235.03 × 11,974.13
  4. Step 4: Simplify right side
    34,169.45x = 613,494,860.70
  5. Step 5: Solve for x
    x = 613,494,860.70/34,169.45
  6. Step 6: Final answer
    x = 17,954.49

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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.