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Finding the Fourth Proportional to 65,963, 98,944.50 and 29,027

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Solution

The fourth proportional to 65,963, 98,944.50 and 29,027 is: 43,540.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,963 : 98,944.50 = 29,027 : x
  2. Step 2: Convert to fraction form
    65,963/98,944.50 = 29,027/x
  3. Step 3: Cross multiply
    65,963x = 98,944.50 × 29,027
  4. Step 4: Simplify right side
    65,963x = 2,872,062,001.50
  5. Step 5: Solve for x
    x = 2,872,062,001.50/65,963
  6. Step 6: Final answer
    x = 43,540.50

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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.