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Finding the Fourth Proportional to 33,837, 46,716.24 and 21,742.38

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Solution

The fourth proportional to 33,837, 46,716.24 and 21,742.38 is: 30,018.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,837 : 46,716.24 = 21,742.38 : x
  2. Step 2: Convert to fraction form
    33,837/46,716.24 = 21,742.38/x
  3. Step 3: Cross multiply
    33,837x = 46,716.24 × 21,742.38
  4. Step 4: Simplify right side
    33,837x = 1,015,722,242.25
  5. Step 5: Solve for x
    x = 1,015,722,242.25/33,837
  6. Step 6: Final answer
    x = 30,018.09

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Why These Related Problems?

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