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Finding the Fourth Proportional to 33,876.38, 46,751.14 and 20,447.46

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Solution

The fourth proportional to 33,876.38, 46,751.14 and 20,447.46 is: 28,218.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,876.38 : 46,751.14 = 20,447.46 : x
  2. Step 2: Convert to fraction form
    33,876.38/46,751.14 = 20,447.46/x
  3. Step 3: Cross multiply
    33,876.38x = 46,751.14 × 20,447.46
  4. Step 4: Simplify right side
    33,876.38x = 955,942,065.10
  5. Step 5: Solve for x
    x = 955,942,065.10/33,876.38
  6. Step 6: Final answer
    x = 28,218.54

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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.