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Finding the Fourth Proportional to 100,566, 150,868.41 and 38,231.64

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Solution

The fourth proportional to 100,566, 150,868.41 and 38,231.64 is: 57,354.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,566 : 150,868.41 = 38,231.64 : x
  2. Step 2: Convert to fraction form
    100,566/150,868.41 = 38,231.64/x
  3. Step 3: Cross multiply
    100,566x = 150,868.41 × 38,231.64
  4. Step 4: Simplify right side
    100,566x = 5,767,946,738.49
  5. Step 5: Solve for x
    x = 5,767,946,738.49/100,566
  6. Step 6: Final answer
    x = 57,354.84

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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.