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Finding the Fourth Proportional to 33,189.74, 49,785.82 and 11,005.06

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Solution

The fourth proportional to 33,189.74, 49,785.82 and 11,005.06 is: 16,507.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,189.74 : 49,785.82 = 11,005.06 : x
  2. Step 2: Convert to fraction form
    33,189.74/49,785.82 = 11,005.06/x
  3. Step 3: Cross multiply
    33,189.74x = 49,785.82 × 11,005.06
  4. Step 4: Simplify right side
    33,189.74x = 547,895,687.32
  5. Step 5: Solve for x
    x = 547,895,687.32/33,189.74
  6. Step 6: Final answer
    x = 16,507.98

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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.