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Finding the Fourth Proportional to 30,234.30, 45,351.54 and 9,174.51

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Solution

The fourth proportional to 30,234.30, 45,351.54 and 9,174.51 is: 13,761.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,234.30 : 45,351.54 = 9,174.51 : x
  2. Step 2: Convert to fraction form
    30,234.30/45,351.54 = 9,174.51/x
  3. Step 3: Cross multiply
    30,234.30x = 45,351.54 × 9,174.51
  4. Step 4: Simplify right side
    30,234.30x = 416,078,157.25
  5. Step 5: Solve for x
    x = 416,078,157.25/30,234.30
  6. Step 6: Final answer
    x = 13,761.79

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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.