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Finding the Fourth Proportional to 33,236.46, 49,864.12 and 13,529.16

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Solution

The fourth proportional to 33,236.46, 49,864.12 and 13,529.16 is: 20,297.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,236.46 : 49,864.12 = 13,529.16 : x
  2. Step 2: Convert to fraction form
    33,236.46/49,864.12 = 13,529.16/x
  3. Step 3: Cross multiply
    33,236.46x = 49,864.12 × 13,529.16
  4. Step 4: Simplify right side
    33,236.46x = 674,619,657.74
  5. Step 5: Solve for x
    x = 674,619,657.74/33,236.46
  6. Step 6: Final answer
    x = 20,297.58

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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.