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Finding the Fourth Proportional to 80,984.66, 111,724.38 and 50,749.40

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Solution

The fourth proportional to 80,984.66, 111,724.38 and 50,749.40 is: 70,012.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,984.66 : 111,724.38 = 50,749.40 : x
  2. Step 2: Convert to fraction form
    80,984.66/111,724.38 = 50,749.40/x
  3. Step 3: Cross multiply
    80,984.66x = 111,724.38 × 50,749.40
  4. Step 4: Simplify right side
    80,984.66x = 5,669,945,250.37
  5. Step 5: Solve for x
    x = 5,669,945,250.37/80,984.66
  6. Step 6: Final answer
    x = 70,012.58

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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.