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Finding the Fourth Proportional to 33,913, 46,799.94 and 20,665

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Solution

The fourth proportional to 33,913, 46,799.94 and 20,665 is: 28,517.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,913 : 46,799.94 = 20,665 : x
  2. Step 2: Convert to fraction form
    33,913/46,799.94 = 20,665/x
  3. Step 3: Cross multiply
    33,913x = 46,799.94 × 20,665
  4. Step 4: Simplify right side
    33,913x = 967,120,760.10
  5. Step 5: Solve for x
    x = 967,120,760.10/33,913
  6. Step 6: Final answer
    x = 28,517.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.