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Finding the Fourth Proportional to 47,105.08, 65,006.46 and 25,885

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Solution

The fourth proportional to 47,105.08, 65,006.46 and 25,885 is: 35,722.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,105.08 : 65,006.46 = 25,885 : x
  2. Step 2: Convert to fraction form
    47,105.08/65,006.46 = 25,885/x
  3. Step 3: Cross multiply
    47,105.08x = 65,006.46 × 25,885
  4. Step 4: Simplify right side
    47,105.08x = 1,682,692,217.10
  5. Step 5: Solve for x
    x = 1,682,692,217.10/47,105.08
  6. Step 6: Final answer
    x = 35,722.10

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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.