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Finding the Fourth Proportional to 33,162.94, 49,751.57 and 10,975.20

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Solution

The fourth proportional to 33,162.94, 49,751.57 and 10,975.20 is: 16,465.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,162.94 : 49,751.57 = 10,975.20 : x
  2. Step 2: Convert to fraction form
    33,162.94/49,751.57 = 10,975.20/x
  3. Step 3: Cross multiply
    33,162.94x = 49,751.57 × 10,975.20
  4. Step 4: Simplify right side
    33,162.94x = 546,033,431.06
  5. Step 5: Solve for x
    x = 546,033,431.06/33,162.94
  6. Step 6: Final answer
    x = 16,465.17

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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.