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Finding the Fourth Proportional to 82,321.90, 123,483.46 and 23,163.54

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Solution

The fourth proportional to 82,321.90, 123,483.46 and 23,163.54 is: 34,745.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,321.90 : 123,483.46 = 23,163.54 : x
  2. Step 2: Convert to fraction form
    82,321.90/123,483.46 = 23,163.54/x
  3. Step 3: Cross multiply
    82,321.90x = 123,483.46 × 23,163.54
  4. Step 4: Simplify right side
    82,321.90x = 2,860,314,065.05
  5. Step 5: Solve for x
    x = 2,860,314,065.05/82,321.90
  6. Step 6: Final answer
    x = 34,745.48

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1.5x scale

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.