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Finding the Fourth Proportional to 39,844, 54,992.10 and 23,077

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Solution

The fourth proportional to 39,844, 54,992.10 and 23,077 is: 31,850.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,844 : 54,992.10 = 23,077 : x
  2. Step 2: Convert to fraction form
    39,844/54,992.10 = 23,077/x
  3. Step 3: Cross multiply
    39,844x = 54,992.10 × 23,077
  4. Step 4: Simplify right side
    39,844x = 1,269,052,691.70
  5. Step 5: Solve for x
    x = 1,269,052,691.70/39,844
  6. Step 6: Final answer
    x = 31,850.53

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Why These Related Problems?

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