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Finding the Fourth Proportional to 44,741, 67,111.50 and 11,909

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Solution

The fourth proportional to 44,741, 67,111.50 and 11,909 is: 17,863.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,741 : 67,111.50 = 11,909 : x
  2. Step 2: Convert to fraction form
    44,741/67,111.50 = 11,909/x
  3. Step 3: Cross multiply
    44,741x = 67,111.50 × 11,909
  4. Step 4: Simplify right side
    44,741x = 799,230,853.50
  5. Step 5: Solve for x
    x = 799,230,853.50/44,741
  6. Step 6: Final answer
    x = 17,863.50

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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.