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Finding the Fourth Proportional to 100,288.94, 150,448.59 and 33,713.01

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Solution

The fourth proportional to 100,288.94, 150,448.59 and 33,713.01 is: 50,574.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,288.94 : 150,448.59 = 33,713.01 : x
  2. Step 2: Convert to fraction form
    100,288.94/150,448.59 = 33,713.01/x
  3. Step 3: Cross multiply
    100,288.94x = 150,448.59 × 33,713.01
  4. Step 4: Simplify right side
    100,288.94x = 5,072,074,819.16
  5. Step 5: Solve for x
    x = 5,072,074,819.16/100,288.94
  6. Step 6: Final answer
    x = 50,574.62

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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.