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Finding the Fourth Proportional to 70,982.94, 106,477.11 and 18,392.58

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Solution

The fourth proportional to 70,982.94, 106,477.11 and 18,392.58 is: 27,589.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,982.94 : 106,477.11 = 18,392.58 : x
  2. Step 2: Convert to fraction form
    70,982.94/106,477.11 = 18,392.58/x
  3. Step 3: Cross multiply
    70,982.94x = 106,477.11 × 18,392.58
  4. Step 4: Simplify right side
    70,982.94x = 1,958,388,763.84
  5. Step 5: Solve for x
    x = 1,958,388,763.84/70,982.94
  6. Step 6: Final answer
    x = 27,589.57

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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.