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Finding the Fourth Proportional to 44,646, 66,969 and 11,814

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Solution

The fourth proportional to 44,646, 66,969 and 11,814 is: 17,721

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,646 : 66,969 = 11,814 : x
  2. Step 2: Convert to fraction form
    44,646/66,969 = 11,814/x
  3. Step 3: Cross multiply
    44,646x = 66,969 × 11,814
  4. Step 4: Simplify right side
    44,646x = 791,171,766
  5. Step 5: Solve for x
    x = 791,171,766/44,646
  6. Step 6: Final answer
    x = 17,721

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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.