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Finding the Fourth Proportional to 100,507.26, 150,728.90 and 33,023.63

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Solution

The fourth proportional to 100,507.26, 150,728.90 and 33,023.63 is: 49,524.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,507.26 : 150,728.90 = 33,023.63 : x
  2. Step 2: Convert to fraction form
    100,507.26/150,728.90 = 33,023.63/x
  3. Step 3: Cross multiply
    100,507.26x = 150,728.90 × 33,023.63
  4. Step 4: Simplify right side
    100,507.26x = 4,977,615,821.37
  5. Step 5: Solve for x
    x = 4,977,615,821.37/100,507.26
  6. Step 6: Final answer
    x = 49,524.94

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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.