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Finding the Fourth Proportional to 70,796.58, 106,195.74 and 18,204.66

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Solution

The fourth proportional to 70,796.58, 106,195.74 and 18,204.66 is: 27,307.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,796.58 : 106,195.74 = 18,204.66 : x
  2. Step 2: Convert to fraction form
    70,796.58/106,195.74 = 18,204.66/x
  3. Step 3: Cross multiply
    70,796.58x = 106,195.74 × 18,204.66
  4. Step 4: Simplify right side
    70,796.58x = 1,933,257,340.15
  5. Step 5: Solve for x
    x = 1,933,257,340.15/70,796.58
  6. Step 6: Final answer
    x = 27,307.21

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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.