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Finding the Fourth Proportional to 74,215.62, 102,348.09 and 47,375.46

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Solution

The fourth proportional to 74,215.62, 102,348.09 and 47,375.46 is: 65,333.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,215.62 : 102,348.09 = 47,375.46 : x
  2. Step 2: Convert to fraction form
    74,215.62/102,348.09 = 47,375.46/x
  3. Step 3: Cross multiply
    74,215.62x = 102,348.09 × 47,375.46
  4. Step 4: Simplify right side
    74,215.62x = 4,848,787,843.87
  5. Step 5: Solve for x
    x = 4,848,787,843.87/74,215.62
  6. Step 6: Final answer
    x = 65,333.79

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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.