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Finding the Fourth Proportional to 33,114.94, 49,671.29 and 14,394.97

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Solution

The fourth proportional to 33,114.94, 49,671.29 and 14,394.97 is: 21,591.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,114.94 : 49,671.29 = 14,394.97 : x
  2. Step 2: Convert to fraction form
    33,114.94/49,671.29 = 14,394.97/x
  3. Step 3: Cross multiply
    33,114.94x = 49,671.29 × 14,394.97
  4. Step 4: Simplify right side
    33,114.94x = 715,016,729.41
  5. Step 5: Solve for x
    x = 715,016,729.41/33,114.94
  6. Step 6: Final answer
    x = 21,591.97

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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.