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Finding the Fourth Proportional to 33,793.34, 50,686.76 and 10,413.50

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Solution

The fourth proportional to 33,793.34, 50,686.76 and 10,413.50 is: 15,619.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,793.34 : 50,686.76 = 10,413.50 : x
  2. Step 2: Convert to fraction form
    33,793.34/50,686.76 = 10,413.50/x
  3. Step 3: Cross multiply
    33,793.34x = 50,686.76 × 10,413.50
  4. Step 4: Simplify right side
    33,793.34x = 527,826,347.86
  5. Step 5: Solve for x
    x = 527,826,347.86/33,793.34
  6. Step 6: Final answer
    x = 15,619.24

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