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Finding the Fourth Proportional to 33,669.50, 50,511.54 and 12,893

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Solution

The fourth proportional to 33,669.50, 50,511.54 and 12,893 is: 19,342.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,669.50 : 50,511.54 = 12,893 : x
  2. Step 2: Convert to fraction form
    33,669.50/50,511.54 = 12,893/x
  3. Step 3: Cross multiply
    33,669.50x = 50,511.54 × 12,893
  4. Step 4: Simplify right side
    33,669.50x = 651,245,285.22
  5. Step 5: Solve for x
    x = 651,245,285.22/33,669.50
  6. Step 6: Final answer
    x = 19,342.29

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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.