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Finding the Fourth Proportional to 100,047.69, 150,113.52 and 43,858.80

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Solution

The fourth proportional to 100,047.69, 150,113.52 and 43,858.80 is: 65,806.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,047.69 : 150,113.52 = 43,858.80 : x
  2. Step 2: Convert to fraction form
    100,047.69/150,113.52 = 43,858.80/x
  3. Step 3: Cross multiply
    100,047.69x = 150,113.52 × 43,858.80
  4. Step 4: Simplify right side
    100,047.69x = 6,583,798,850.98
  5. Step 5: Solve for x
    x = 6,583,798,850.98/100,047.69
  6. Step 6: Final answer
    x = 65,806.61

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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.