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Finding the Fourth Proportional to 43,608.75, 65,413.74 and 12,444

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Solution

The fourth proportional to 43,608.75, 65,413.74 and 12,444 is: 18,666.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,608.75 : 65,413.74 = 12,444 : x
  2. Step 2: Convert to fraction form
    43,608.75/65,413.74 = 12,444/x
  3. Step 3: Cross multiply
    43,608.75x = 65,413.74 × 12,444
  4. Step 4: Simplify right side
    43,608.75x = 814,008,580.56
  5. Step 5: Solve for x
    x = 814,008,580.56/43,608.75
  6. Step 6: Final answer
    x = 18,666.18

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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.