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Finding the Fourth Proportional to 73,647.44, 110,438.34 and 26,867.50

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Solution

The fourth proportional to 73,647.44, 110,438.34 and 26,867.50 is: 40,289.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,647.44 : 110,438.34 = 26,867.50 : x
  2. Step 2: Convert to fraction form
    73,647.44/110,438.34 = 26,867.50/x
  3. Step 3: Cross multiply
    73,647.44x = 110,438.34 × 26,867.50
  4. Step 4: Simplify right side
    73,647.44x = 2,967,202,099.95
  5. Step 5: Solve for x
    x = 2,967,202,099.95/73,647.44
  6. Step 6: Final answer
    x = 40,289.28

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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.