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Finding the Fourth Proportional to 44,109, 66,163.86 and 16,407

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Solution

The fourth proportional to 44,109, 66,163.86 and 16,407 is: 24,610.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,109 : 66,163.86 = 16,407 : x
  2. Step 2: Convert to fraction form
    44,109/66,163.86 = 16,407/x
  3. Step 3: Cross multiply
    44,109x = 66,163.86 × 16,407
  4. Step 4: Simplify right side
    44,109x = 1,085,550,451.02
  5. Step 5: Solve for x
    x = 1,085,550,451.02/44,109
  6. Step 6: Final answer
    x = 24,610.63

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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.