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Finding the Fourth Proportional to 50,413.40, 69,566.37 and 29,194.04

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Solution

The fourth proportional to 50,413.40, 69,566.37 and 29,194.04 is: 40,285.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,413.40 : 69,566.37 = 29,194.04 : x
  2. Step 2: Convert to fraction form
    50,413.40/69,566.37 = 29,194.04/x
  3. Step 3: Cross multiply
    50,413.40x = 69,566.37 × 29,194.04
  4. Step 4: Simplify right side
    50,413.40x = 2,030,923,388.43
  5. Step 5: Solve for x
    x = 2,030,923,388.43/50,413.40
  6. Step 6: Final answer
    x = 40,285.39

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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.