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Finding the Fourth Proportional to 100,546.74, 150,819.97 and 25,666.91

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Solution

The fourth proportional to 100,546.74, 150,819.97 and 25,666.91 is: 38,500.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,546.74 : 150,819.97 = 25,666.91 : x
  2. Step 2: Convert to fraction form
    100,546.74/150,819.97 = 25,666.91/x
  3. Step 3: Cross multiply
    100,546.74x = 150,819.97 × 25,666.91
  4. Step 4: Simplify right side
    100,546.74x = 3,871,082,596.19
  5. Step 5: Solve for x
    x = 3,871,082,596.19/100,546.74
  6. Step 6: Final answer
    x = 38,500.33

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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.