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Finding the Fourth Proportional to 69,378, 95,741.46 and 37,546.89

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Solution

The fourth proportional to 69,378, 95,741.46 and 37,546.89 is: 51,814.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,378 : 95,741.46 = 37,546.89 : x
  2. Step 2: Convert to fraction form
    69,378/95,741.46 = 37,546.89/x
  3. Step 3: Cross multiply
    69,378x = 95,741.46 × 37,546.89
  4. Step 4: Simplify right side
    69,378x = 3,594,794,067.06
  5. Step 5: Solve for x
    x = 3,594,794,067.06/69,378
  6. Step 6: Final answer
    x = 51,814.61

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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.