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Finding the Fourth Proportional to 65,091.89, 89,835.12 and 36,413.14

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Solution

The fourth proportional to 65,091.89, 89,835.12 and 36,413.14 is: 50,254.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,091.89 : 89,835.12 = 36,413.14 : x
  2. Step 2: Convert to fraction form
    65,091.89/89,835.12 = 36,413.14/x
  3. Step 3: Cross multiply
    65,091.89x = 89,835.12 × 36,413.14
  4. Step 4: Simplify right side
    65,091.89x = 3,271,178,576.89
  5. Step 5: Solve for x
    x = 3,271,178,576.89/65,091.89
  6. Step 6: Final answer
    x = 50,254.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.