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Finding the Fourth Proportional to 33,090.32, 49,641.63 and 13,382.71

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Solution

The fourth proportional to 33,090.32, 49,641.63 and 13,382.71 is: 20,076.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,090.32 : 49,641.63 = 13,382.71 : x
  2. Step 2: Convert to fraction form
    33,090.32/49,641.63 = 13,382.71/x
  3. Step 3: Cross multiply
    33,090.32x = 49,641.63 × 13,382.71
  4. Step 4: Simplify right side
    33,090.32x = 664,339,538.22
  5. Step 5: Solve for x
    x = 664,339,538.22/33,090.32
  6. Step 6: Final answer
    x = 20,076.55

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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.