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Finding the Fourth Proportional to 76,867, 106,076.46 and 43,333

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Solution

The fourth proportional to 76,867, 106,076.46 and 43,333 is: 59,799.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,867 : 106,076.46 = 43,333 : x
  2. Step 2: Convert to fraction form
    76,867/106,076.46 = 43,333/x
  3. Step 3: Cross multiply
    76,867x = 106,076.46 × 43,333
  4. Step 4: Simplify right side
    76,867x = 4,596,611,241.18
  5. Step 5: Solve for x
    x = 4,596,611,241.18/76,867
  6. Step 6: Final answer
    x = 59,799.54

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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.