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Finding the Fourth Proportional to 33,146.51, 49,729.04 and 10,975.49

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Solution

The fourth proportional to 33,146.51, 49,729.04 and 10,975.49 is: 16,466.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,146.51 : 49,729.04 = 10,975.49 : x
  2. Step 2: Convert to fraction form
    33,146.51/49,729.04 = 10,975.49/x
  3. Step 3: Cross multiply
    33,146.51x = 49,729.04 × 10,975.49
  4. Step 4: Simplify right side
    33,146.51x = 545,800,277.71
  5. Step 5: Solve for x
    x = 545,800,277.71/33,146.51
  6. Step 6: Final answer
    x = 16,466.30

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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.