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Finding the Fourth Proportional to 77,867, 107,456.62 and 44,333

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Solution

The fourth proportional to 77,867, 107,456.62 and 44,333 is: 61,179.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,867 : 107,456.62 = 44,333 : x
  2. Step 2: Convert to fraction form
    77,867/107,456.62 = 44,333/x
  3. Step 3: Cross multiply
    77,867x = 107,456.62 × 44,333
  4. Step 4: Simplify right side
    77,867x = 4,763,874,334.46
  5. Step 5: Solve for x
    x = 4,763,874,334.46/77,867
  6. Step 6: Final answer
    x = 61,179.63

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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.