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Finding the Fourth Proportional to 83,027, 114,565.69 and 47,213.05

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Solution

The fourth proportional to 83,027, 114,565.69 and 47,213.05 is: 65,147.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,027 : 114,565.69 = 47,213.05 : x
  2. Step 2: Convert to fraction form
    83,027/114,565.69 = 47,213.05/x
  3. Step 3: Cross multiply
    83,027x = 114,565.69 × 47,213.05
  4. Step 4: Simplify right side
    83,027x = 5,408,995,650.25
  5. Step 5: Solve for x
    x = 5,408,995,650.25/83,027
  6. Step 6: Final answer
    x = 65,147.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.