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Finding the Fourth Proportional to 100,299.64, 150,457.66 and 33,721.90

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Solution

The fourth proportional to 100,299.64, 150,457.66 and 33,721.90 is: 50,585.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,299.64 : 150,457.66 = 33,721.90 : x
  2. Step 2: Convert to fraction form
    100,299.64/150,457.66 = 33,721.90/x
  3. Step 3: Cross multiply
    100,299.64x = 150,457.66 × 33,721.90
  4. Step 4: Simplify right side
    100,299.64x = 5,073,718,164.75
  5. Step 5: Solve for x
    x = 5,073,718,164.75/100,299.64
  6. Step 6: Final answer
    x = 50,585.61

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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.