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Finding the Fourth Proportional to 54,969.82, 75,858.21 and 29,819.32

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Solution

The fourth proportional to 54,969.82, 75,858.21 and 29,819.32 is: 41,150.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,969.82 : 75,858.21 = 29,819.32 : x
  2. Step 2: Convert to fraction form
    54,969.82/75,858.21 = 29,819.32/x
  3. Step 3: Cross multiply
    54,969.82x = 75,858.21 × 29,819.32
  4. Step 4: Simplify right side
    54,969.82x = 2,262,040,048.97
  5. Step 5: Solve for x
    x = 2,262,040,048.97/54,969.82
  6. Step 6: Final answer
    x = 41,150.58

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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.