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Finding the Fourth Proportional to 100,466.97, 150,700.46 and 30,346.29

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Solution

The fourth proportional to 100,466.97, 150,700.46 and 30,346.29 is: 45,519.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,466.97 : 150,700.46 = 30,346.29 : x
  2. Step 2: Convert to fraction form
    100,466.97/150,700.46 = 30,346.29/x
  3. Step 3: Cross multiply
    100,466.97x = 150,700.46 × 30,346.29
  4. Step 4: Simplify right side
    100,466.97x = 4,573,199,710.56
  5. Step 5: Solve for x
    x = 4,573,199,710.56/100,466.97
  6. Step 6: Final answer
    x = 45,519.44

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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.