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Finding the Fourth Proportional to 33,406.43, 46,112.90 and 22,788.54

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Solution

The fourth proportional to 33,406.43, 46,112.90 and 22,788.54 is: 31,456.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,406.43 : 46,112.90 = 22,788.54 : x
  2. Step 2: Convert to fraction form
    33,406.43/46,112.90 = 22,788.54/x
  3. Step 3: Cross multiply
    33,406.43x = 46,112.90 × 22,788.54
  4. Step 4: Simplify right side
    33,406.43x = 1,050,845,552.22
  5. Step 5: Solve for x
    x = 1,050,845,552.22/33,406.43
  6. Step 6: Final answer
    x = 31,456.39

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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.