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Finding the Fourth Proportional to 81,906.56, 122,782 and 32,018.64

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Solution

The fourth proportional to 81,906.56, 122,782 and 32,018.64 is: 47,997.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,906.56 : 122,782 = 32,018.64 : x
  2. Step 2: Convert to fraction form
    81,906.56/122,782 = 32,018.64/x
  3. Step 3: Cross multiply
    81,906.56x = 122,782 × 32,018.64
  4. Step 4: Simplify right side
    81,906.56x = 3,931,312,656.48
  5. Step 5: Solve for x
    x = 3,931,312,656.48/81,906.56
  6. Step 6: Final answer
    x = 47,997.53

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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.