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Finding the Fourth Proportional to 47,103.36, 65,003.76 and 25,882.44

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Solution

The fourth proportional to 47,103.36, 65,003.76 and 25,882.44 is: 35,718.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,103.36 : 65,003.76 = 25,882.44 : x
  2. Step 2: Convert to fraction form
    47,103.36/65,003.76 = 25,882.44/x
  3. Step 3: Cross multiply
    47,103.36x = 65,003.76 × 25,882.44
  4. Step 4: Simplify right side
    47,103.36x = 1,682,455,917.97
  5. Step 5: Solve for x
    x = 1,682,455,917.97/47,103.36
  6. Step 6: Final answer
    x = 35,718.38

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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.