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Finding the Fourth Proportional to 33,182.26, 49,774.63 and 9,169.00

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Solution

The fourth proportional to 33,182.26, 49,774.63 and 9,169.00 is: 13,753.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,182.26 : 49,774.63 = 9,169.00 : x
  2. Step 2: Convert to fraction form
    33,182.26/49,774.63 = 9,169.00/x
  3. Step 3: Cross multiply
    33,182.26x = 49,774.63 × 9,169.00
  4. Step 4: Simplify right side
    33,182.26x = 456,383,435.11
  5. Step 5: Solve for x
    x = 456,383,435.11/33,182.26
  6. Step 6: Final answer
    x = 13,753.84

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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.