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Finding the Fourth Proportional to 33,102.46, 49,653.63 and 13,381.03

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Solution

The fourth proportional to 33,102.46, 49,653.63 and 13,381.03 is: 20,071.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,102.46 : 49,653.63 = 13,381.03 : x
  2. Step 2: Convert to fraction form
    33,102.46/49,653.63 = 13,381.03/x
  3. Step 3: Cross multiply
    33,102.46x = 49,653.63 × 13,381.03
  4. Step 4: Simplify right side
    33,102.46x = 664,416,712.64
  5. Step 5: Solve for x
    x = 664,416,712.64/33,102.46
  6. Step 6: Final answer
    x = 20,071.52

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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.