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Finding the Fourth Proportional to 33,052.23, 49,571.06 and 9,680.49

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Solution

The fourth proportional to 33,052.23, 49,571.06 and 9,680.49 is: 14,518.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,052.23 : 49,571.06 = 9,680.49 : x
  2. Step 2: Convert to fraction form
    33,052.23/49,571.06 = 9,680.49/x
  3. Step 3: Cross multiply
    33,052.23x = 49,571.06 × 9,680.49
  4. Step 4: Simplify right side
    33,052.23x = 479,872,102.22
  5. Step 5: Solve for x
    x = 479,872,102.22/33,052.23
  6. Step 6: Final answer
    x = 14,518.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.