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Finding the Fourth Proportional to 33,739, 50,573.94 and 14,029

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Solution

The fourth proportional to 33,739, 50,573.94 and 14,029 is: 21,029.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,739 : 50,573.94 = 14,029 : x
  2. Step 2: Convert to fraction form
    33,739/50,573.94 = 14,029/x
  3. Step 3: Cross multiply
    33,739x = 50,573.94 × 14,029
  4. Step 4: Simplify right side
    33,739x = 709,501,804.26
  5. Step 5: Solve for x
    x = 709,501,804.26/33,739
  6. Step 6: Final answer
    x = 21,029.13

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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.