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Finding the Fourth Proportional to 33,090.40, 49,644.86 and 13,382.79

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Solution

The fourth proportional to 33,090.40, 49,644.86 and 13,382.79 is: 20,077.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,090.40 : 49,644.86 = 13,382.79 : x
  2. Step 2: Convert to fraction form
    33,090.40/49,644.86 = 13,382.79/x
  3. Step 3: Cross multiply
    33,090.40x = 49,644.86 × 13,382.79
  4. Step 4: Simplify right side
    33,090.40x = 664,386,735.96
  5. Step 5: Solve for x
    x = 664,386,735.96/33,090.40
  6. Step 6: Final answer
    x = 20,077.93

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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.