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Finding the Fourth Proportional to 33,008, 49,490.13 and 11,945.30

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Solution

The fourth proportional to 33,008, 49,490.13 and 11,945.30 is: 17,910.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,008 : 49,490.13 = 11,945.30 : x
  2. Step 2: Convert to fraction form
    33,008/49,490.13 = 11,945.30/x
  3. Step 3: Cross multiply
    33,008x = 49,490.13 × 11,945.30
  4. Step 4: Simplify right side
    33,008x = 591,174,449.89
  5. Step 5: Solve for x
    x = 591,174,449.89/33,008
  6. Step 6: Final answer
    x = 17,910.04

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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.