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Finding the Fourth Proportional to 100,389.87, 150,598.68 and 33,849.03

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Solution

The fourth proportional to 100,389.87, 150,598.68 and 33,849.03 is: 50,778.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,389.87 : 150,598.68 = 33,849.03 : x
  2. Step 2: Convert to fraction form
    100,389.87/150,598.68 = 33,849.03/x
  3. Step 3: Cross multiply
    100,389.87x = 150,598.68 × 33,849.03
  4. Step 4: Simplify right side
    100,389.87x = 5,097,619,237.28
  5. Step 5: Solve for x
    x = 5,097,619,237.28/100,389.87
  6. Step 6: Final answer
    x = 50,778.22

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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.