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Finding the Fourth Proportional to 33,876.81, 46,772.82 and 21,149.37

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Solution

The fourth proportional to 33,876.81, 46,772.82 and 21,149.37 is: 29,200.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,876.81 : 46,772.82 = 21,149.37 : x
  2. Step 2: Convert to fraction form
    33,876.81/46,772.82 = 21,149.37/x
  3. Step 3: Cross multiply
    33,876.81x = 46,772.82 × 21,149.37
  4. Step 4: Simplify right side
    33,876.81x = 989,215,676.12
  5. Step 5: Solve for x
    x = 989,215,676.12/33,876.81
  6. Step 6: Final answer
    x = 29,200.38

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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.