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Finding the Fourth Proportional to 33,865.21, 46,708.81 and 21,919.33

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Solution

The fourth proportional to 33,865.21, 46,708.81 and 21,919.33 is: 30,232.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,865.21 : 46,708.81 = 21,919.33 : x
  2. Step 2: Convert to fraction form
    33,865.21/46,708.81 = 21,919.33/x
  3. Step 3: Cross multiply
    33,865.21x = 46,708.81 × 21,919.33
  4. Step 4: Simplify right side
    33,865.21x = 1,023,825,820.30
  5. Step 5: Solve for x
    x = 1,023,825,820.30/33,865.21
  6. Step 6: Final answer
    x = 30,232.38

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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.