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Finding the Fourth Proportional to 33,483.84, 50,206.32 and 12,696

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Solution

The fourth proportional to 33,483.84, 50,206.32 and 12,696 is: 19,036.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,483.84 : 50,206.32 = 12,696 : x
  2. Step 2: Convert to fraction form
    33,483.84/50,206.32 = 12,696/x
  3. Step 3: Cross multiply
    33,483.84x = 50,206.32 × 12,696
  4. Step 4: Simplify right side
    33,483.84x = 637,419,438.72
  5. Step 5: Solve for x
    x = 637,419,438.72/33,483.84
  6. Step 6: Final answer
    x = 19,036.63

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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.