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Finding the Fourth Proportional to 33,168.30, 49,738.41 and 9,788.46

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Solution

The fourth proportional to 33,168.30, 49,738.41 and 9,788.46 is: 14,678.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,168.30 : 49,738.41 = 9,788.46 : x
  2. Step 2: Convert to fraction form
    33,168.30/49,738.41 = 9,788.46/x
  3. Step 3: Cross multiply
    33,168.30x = 49,738.41 × 9,788.46
  4. Step 4: Simplify right side
    33,168.30x = 486,862,436.75
  5. Step 5: Solve for x
    x = 486,862,436.75/33,168.30
  6. Step 6: Final answer
    x = 14,678.55

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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.