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Finding the Fourth Proportional to 65,601.10, 98,413.80 and 21,229.30

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Solution

The fourth proportional to 65,601.10, 98,413.80 and 21,229.30 is: 31,847.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,601.10 : 98,413.80 = 21,229.30 : x
  2. Step 2: Convert to fraction form
    65,601.10/98,413.80 = 21,229.30/x
  3. Step 3: Cross multiply
    65,601.10x = 98,413.80 × 21,229.30
  4. Step 4: Simplify right side
    65,601.10x = 2,089,256,084.34
  5. Step 5: Solve for x
    x = 2,089,256,084.34/65,601.10
  6. Step 6: Final answer
    x = 31,847.88

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Why These Related Problems?

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