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Finding the Fourth Proportional to 74,976, 103,467 and 41,442

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Solution

The fourth proportional to 74,976, 103,467 and 41,442 is: 57,190.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,976 : 103,467 = 41,442 : x
  2. Step 2: Convert to fraction form
    74,976/103,467 = 41,442/x
  3. Step 3: Cross multiply
    74,976x = 103,467 × 41,442
  4. Step 4: Simplify right side
    74,976x = 4,287,879,414
  5. Step 5: Solve for x
    x = 4,287,879,414/74,976
  6. Step 6: Final answer
    x = 57,190.03

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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.