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Finding the Fourth Proportional to 33,738, 50,572.44 and 14,028

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Solution

The fourth proportional to 33,738, 50,572.44 and 14,028 is: 21,027.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,738 : 50,572.44 = 14,028 : x
  2. Step 2: Convert to fraction form
    33,738/50,572.44 = 14,028/x
  3. Step 3: Cross multiply
    33,738x = 50,572.44 × 14,028
  4. Step 4: Simplify right side
    33,738x = 709,430,188.32
  5. Step 5: Solve for x
    x = 709,430,188.32/33,738
  6. Step 6: Final answer
    x = 21,027.63

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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.