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Finding the Fourth Proportional to 81,645.96, 122,413.26 and 41,566.44

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Solution

The fourth proportional to 81,645.96, 122,413.26 and 41,566.44 is: 62,321.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,645.96 : 122,413.26 = 41,566.44 : x
  2. Step 2: Convert to fraction form
    81,645.96/122,413.26 = 41,566.44/x
  3. Step 3: Cross multiply
    81,645.96x = 122,413.26 × 41,566.44
  4. Step 4: Simplify right side
    81,645.96x = 5,088,283,426.99
  5. Step 5: Solve for x
    x = 5,088,283,426.99/81,645.96
  6. Step 6: Final answer
    x = 62,321.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.