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Finding the Fourth Proportional to 50,683.96, 76,026.14 and 17,413.61

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Solution

The fourth proportional to 50,683.96, 76,026.14 and 17,413.61 is: 26,120.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,683.96 : 76,026.14 = 17,413.61 : x
  2. Step 2: Convert to fraction form
    50,683.96/76,026.14 = 17,413.61/x
  3. Step 3: Cross multiply
    50,683.96x = 76,026.14 × 17,413.61
  4. Step 4: Simplify right side
    50,683.96x = 1,323,889,464.70
  5. Step 5: Solve for x
    x = 1,323,889,464.70/50,683.96
  6. Step 6: Final answer
    x = 26,120.48

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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.