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Finding the Fourth Proportional to 75,782.66, 104,578.70 and 41,794.29

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Solution

The fourth proportional to 75,782.66, 104,578.70 and 41,794.29 is: 57,675.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,782.66 : 104,578.70 = 41,794.29 : x
  2. Step 2: Convert to fraction form
    75,782.66/104,578.70 = 41,794.29/x
  3. Step 3: Cross multiply
    75,782.66x = 104,578.70 × 41,794.29
  4. Step 4: Simplify right side
    75,782.66x = 4,370,792,453.72
  5. Step 5: Solve for x
    x = 4,370,792,453.72/75,782.66
  6. Step 6: Final answer
    x = 57,675.36

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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.