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Finding the Fourth Proportional to 30,234.06, 45,351.09 and 9,174.06

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Solution

The fourth proportional to 30,234.06, 45,351.09 and 9,174.06 is: 13,761.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,234.06 : 45,351.09 = 9,174.06 : x
  2. Step 2: Convert to fraction form
    30,234.06/45,351.09 = 9,174.06/x
  3. Step 3: Cross multiply
    30,234.06x = 45,351.09 × 9,174.06
  4. Step 4: Simplify right side
    30,234.06x = 416,053,620.73
  5. Step 5: Solve for x
    x = 416,053,620.73/30,234.06
  6. Step 6: Final answer
    x = 13,761.09

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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.