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Finding the Fourth Proportional to 35,847, 49,466.52 and 19,930.86

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Solution

The fourth proportional to 35,847, 49,466.52 and 19,930.86 is: 27,503.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,847 : 49,466.52 = 19,930.86 : x
  2. Step 2: Convert to fraction form
    35,847/49,466.52 = 19,930.86/x
  3. Step 3: Cross multiply
    35,847x = 49,466.52 × 19,930.86
  4. Step 4: Simplify right side
    35,847x = 985,910,284.81
  5. Step 5: Solve for x
    x = 985,910,284.81/35,847
  6. Step 6: Final answer
    x = 27,503.29

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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.