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Finding the Fourth Proportional to 33,170.94, 49,619.70 and 30,251.28

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Solution

The fourth proportional to 33,170.94, 49,619.70 and 30,251.28 is: 45,252.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,170.94 : 49,619.70 = 30,251.28 : x
  2. Step 2: Convert to fraction form
    33,170.94/49,619.70 = 30,251.28/x
  3. Step 3: Cross multiply
    33,170.94x = 49,619.70 × 30,251.28
  4. Step 4: Simplify right side
    33,170.94x = 1,501,059,438.22
  5. Step 5: Solve for x
    x = 1,501,059,438.22/33,170.94
  6. Step 6: Final answer
    x = 45,252.24

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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.