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Finding the Fourth Proportional to 41,433.71, 57,212.24 and 33,778.19

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Solution

The fourth proportional to 41,433.71, 57,212.24 and 33,778.19 is: 46,641.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,433.71 : 57,212.24 = 33,778.19 : x
  2. Step 2: Convert to fraction form
    41,433.71/57,212.24 = 33,778.19/x
  3. Step 3: Cross multiply
    41,433.71x = 57,212.24 × 33,778.19
  4. Step 4: Simplify right side
    41,433.71x = 1,932,525,458.09
  5. Step 5: Solve for x
    x = 1,932,525,458.09/41,433.71
  6. Step 6: Final answer
    x = 46,641.39

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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.