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Finding the Fourth Proportional to 34,474.44, 51,705.50 and 9,174.09

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Solution

The fourth proportional to 34,474.44, 51,705.50 and 9,174.09 is: 13,759.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,474.44 : 51,705.50 = 9,174.09 : x
  2. Step 2: Convert to fraction form
    34,474.44/51,705.50 = 9,174.09/x
  3. Step 3: Cross multiply
    34,474.44x = 51,705.50 × 9,174.09
  4. Step 4: Simplify right side
    34,474.44x = 474,351,058.52
  5. Step 5: Solve for x
    x = 474,351,058.52/34,474.44
  6. Step 6: Final answer
    x = 13,759.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.