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Finding the Fourth Proportional to 33,168.96, 45,738 and 21,232.80

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Solution

The fourth proportional to 33,168.96, 45,738 and 21,232.80 is: 29,278.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,168.96 : 45,738 = 21,232.80 : x
  2. Step 2: Convert to fraction form
    33,168.96/45,738 = 21,232.80/x
  3. Step 3: Cross multiply
    33,168.96x = 45,738 × 21,232.80
  4. Step 4: Simplify right side
    33,168.96x = 971,145,806.40
  5. Step 5: Solve for x
    x = 971,145,806.40/33,168.96
  6. Step 6: Final answer
    x = 29,278.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.