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Finding the Fourth Proportional to 69,825.80, 104,738.70 and 54,254.60

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Solution

The fourth proportional to 69,825.80, 104,738.70 and 54,254.60 is: 81,381.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,825.80 : 104,738.70 = 54,254.60 : x
  2. Step 2: Convert to fraction form
    69,825.80/104,738.70 = 54,254.60/x
  3. Step 3: Cross multiply
    69,825.80x = 104,738.70 × 54,254.60
  4. Step 4: Simplify right side
    69,825.80x = 5,682,556,273.02
  5. Step 5: Solve for x
    x = 5,682,556,273.02/69,825.80
  6. Step 6: Final answer
    x = 81,381.90

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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.