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Finding the Fourth Proportional to 29,443, 44,164.50 and 13,027

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Solution

The fourth proportional to 29,443, 44,164.50 and 13,027 is: 19,540.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,443 : 44,164.50 = 13,027 : x
  2. Step 2: Convert to fraction form
    29,443/44,164.50 = 13,027/x
  3. Step 3: Cross multiply
    29,443x = 44,164.50 × 13,027
  4. Step 4: Simplify right side
    29,443x = 575,330,941.50
  5. Step 5: Solve for x
    x = 575,330,941.50/29,443
  6. Step 6: Final answer
    x = 19,540.50

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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.