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Finding the Fourth Proportional to 47,122.12, 65,029.78 and 25,901.96

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Solution

The fourth proportional to 47,122.12, 65,029.78 and 25,901.96 is: 35,745.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,122.12 : 65,029.78 = 25,901.96 : x
  2. Step 2: Convert to fraction form
    47,122.12/65,029.78 = 25,901.96/x
  3. Step 3: Cross multiply
    47,122.12x = 65,029.78 × 25,901.96
  4. Step 4: Simplify right side
    47,122.12x = 1,684,398,760.37
  5. Step 5: Solve for x
    x = 1,684,398,760.37/47,122.12
  6. Step 6: Final answer
    x = 35,745.39

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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.