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Finding the Fourth Proportional to 100,075.68, 150,112.80 and 33,516

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Solution

The fourth proportional to 100,075.68, 150,112.80 and 33,516 is: 50,273.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,075.68 : 150,112.80 = 33,516 : x
  2. Step 2: Convert to fraction form
    100,075.68/150,112.80 = 33,516/x
  3. Step 3: Cross multiply
    100,075.68x = 150,112.80 × 33,516
  4. Step 4: Simplify right side
    100,075.68x = 5,031,180,604.80
  5. Step 5: Solve for x
    x = 5,031,180,604.80/100,075.68
  6. Step 6: Final answer
    x = 50,273.76

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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.