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Finding the Fourth Proportional to 33,144, 49,718.43 and 12,367.50

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Solution

The fourth proportional to 33,144, 49,718.43 and 12,367.50 is: 18,552.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,144 : 49,718.43 = 12,367.50 : x
  2. Step 2: Convert to fraction form
    33,144/49,718.43 = 12,367.50/x
  3. Step 3: Cross multiply
    33,144x = 49,718.43 × 12,367.50
  4. Step 4: Simplify right side
    33,144x = 614,892,683.03
  5. Step 5: Solve for x
    x = 614,892,683.03/33,144
  6. Step 6: Final answer
    x = 18,552.16

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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.