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Finding the Fourth Proportional to 54,682.89, 82,035.77 and 23,093.02

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Solution

The fourth proportional to 54,682.89, 82,035.77 and 23,093.02 is: 34,644.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,682.89 : 82,035.77 = 23,093.02 : x
  2. Step 2: Convert to fraction form
    54,682.89/82,035.77 = 23,093.02/x
  3. Step 3: Cross multiply
    54,682.89x = 82,035.77 × 23,093.02
  4. Step 4: Simplify right side
    54,682.89x = 1,894,453,794.30
  5. Step 5: Solve for x
    x = 1,894,453,794.30/54,682.89
  6. Step 6: Final answer
    x = 34,644.36

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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.