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Finding the Fourth Proportional to 100,581.84, 150,873.66 and 34,022.34

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Solution

The fourth proportional to 100,581.84, 150,873.66 and 34,022.34 is: 51,033.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,581.84 : 150,873.66 = 34,022.34 : x
  2. Step 2: Convert to fraction form
    100,581.84/150,873.66 = 34,022.34/x
  3. Step 3: Cross multiply
    100,581.84x = 150,873.66 × 34,022.34
  4. Step 4: Simplify right side
    100,581.84x = 5,133,074,957.56
  5. Step 5: Solve for x
    x = 5,133,074,957.56/100,581.84
  6. Step 6: Final answer
    x = 51,033.81

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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.