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Finding the Fourth Proportional to 33,136.41, 49,708.07 and 10,641.41

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Solution

The fourth proportional to 33,136.41, 49,708.07 and 10,641.41 is: 15,963.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,136.41 : 49,708.07 = 10,641.41 : x
  2. Step 2: Convert to fraction form
    33,136.41/49,708.07 = 10,641.41/x
  3. Step 3: Cross multiply
    33,136.41x = 49,708.07 × 10,641.41
  4. Step 4: Simplify right side
    33,136.41x = 528,963,917.65
  5. Step 5: Solve for x
    x = 528,963,917.65/33,136.41
  6. Step 6: Final answer
    x = 15,963.22

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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.