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Finding the Fourth Proportional to 111,413.96, 167,103.03 and 32,509.70

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Solution

The fourth proportional to 111,413.96, 167,103.03 and 32,509.70 is: 48,759.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,413.96 : 167,103.03 = 32,509.70 : x
  2. Step 2: Convert to fraction form
    111,413.96/167,103.03 = 32,509.70/x
  3. Step 3: Cross multiply
    111,413.96x = 167,103.03 × 32,509.70
  4. Step 4: Simplify right side
    111,413.96x = 5,432,469,374.39
  5. Step 5: Solve for x
    x = 5,432,469,374.39/111,413.96
  6. Step 6: Final answer
    x = 48,759.32

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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.