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Finding the Fourth Proportional to 67,409.40, 100,978.76 and 33,573.44

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Solution

The fourth proportional to 67,409.40, 100,978.76 and 33,573.44 is: 50,292.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,409.40 : 100,978.76 = 33,573.44 : x
  2. Step 2: Convert to fraction form
    67,409.40/100,978.76 = 33,573.44/x
  3. Step 3: Cross multiply
    67,409.40x = 100,978.76 × 33,573.44
  4. Step 4: Simplify right side
    67,409.40x = 3,390,204,340.13
  5. Step 5: Solve for x
    x = 3,390,204,340.13/67,409.40
  6. Step 6: Final answer
    x = 50,292.75

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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.