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Finding the Fourth Proportional to 81,992.98, 122,911.03 and 32,056.48

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Solution

The fourth proportional to 81,992.98, 122,911.03 and 32,056.48 is: 48,054.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,992.98 : 122,911.03 = 32,056.48 : x
  2. Step 2: Convert to fraction form
    81,992.98/122,911.03 = 32,056.48/x
  3. Step 3: Cross multiply
    81,992.98x = 122,911.03 × 32,056.48
  4. Step 4: Simplify right side
    81,992.98x = 3,940,094,974.97
  5. Step 5: Solve for x
    x = 3,940,094,974.97/81,992.98
  6. Step 6: Final answer
    x = 48,054.05

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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.