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Finding the Fourth Proportional to 100,453.68, 150,625.84 and 30,323.88

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Solution

The fourth proportional to 100,453.68, 150,625.84 and 30,323.88 is: 45,469.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,453.68 : 150,625.84 = 30,323.88 : x
  2. Step 2: Convert to fraction form
    100,453.68/150,625.84 = 30,323.88/x
  3. Step 3: Cross multiply
    100,453.68x = 150,625.84 × 30,323.88
  4. Step 4: Simplify right side
    100,453.68x = 4,567,559,897.06
  5. Step 5: Solve for x
    x = 4,567,559,897.06/100,453.68
  6. Step 6: Final answer
    x = 45,469.31

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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.