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Finding the Fourth Proportional to 70,722.84, 106,076.34 and 18,133.56

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Solution

The fourth proportional to 70,722.84, 106,076.34 and 18,133.56 is: 27,198.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,722.84 : 106,076.34 = 18,133.56 : x
  2. Step 2: Convert to fraction form
    70,722.84/106,076.34 = 18,133.56/x
  3. Step 3: Cross multiply
    70,722.84x = 106,076.34 × 18,133.56
  4. Step 4: Simplify right side
    70,722.84x = 1,923,541,675.97
  5. Step 5: Solve for x
    x = 1,923,541,675.97/70,722.84
  6. Step 6: Final answer
    x = 27,198.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.