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Finding the Fourth Proportional to 75,230.52, 103,821.32 and 41,696.52

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Solution

The fourth proportional to 75,230.52, 103,821.32 and 41,696.52 is: 57,542.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,230.52 : 103,821.32 = 41,696.52 : x
  2. Step 2: Convert to fraction form
    75,230.52/103,821.32 = 41,696.52/x
  3. Step 3: Cross multiply
    75,230.52x = 103,821.32 × 41,696.52
  4. Step 4: Simplify right side
    75,230.52x = 4,328,987,745.81
  5. Step 5: Solve for x
    x = 4,328,987,745.81/75,230.52
  6. Step 6: Final answer
    x = 57,542.97

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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.