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Finding the Fourth Proportional to 100,098.42, 150,147.63 and 33,538.67

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Solution

The fourth proportional to 100,098.42, 150,147.63 and 33,538.67 is: 50,308.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,098.42 : 150,147.63 = 33,538.67 : x
  2. Step 2: Convert to fraction form
    100,098.42/150,147.63 = 33,538.67/x
  3. Step 3: Cross multiply
    100,098.42x = 150,147.63 × 33,538.67
  4. Step 4: Simplify right side
    100,098.42x = 5,035,751,813.85
  5. Step 5: Solve for x
    x = 5,035,751,813.85/100,098.42
  6. Step 6: Final answer
    x = 50,308.01

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1.5x scale

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.