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Finding the Fourth Proportional to 33,014.50, 49,522.18 and 12,238

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Solution

The fourth proportional to 33,014.50, 49,522.18 and 12,238 is: 18,357.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,014.50 : 49,522.18 = 12,238 : x
  2. Step 2: Convert to fraction form
    33,014.50/49,522.18 = 12,238/x
  3. Step 3: Cross multiply
    33,014.50x = 49,522.18 × 12,238
  4. Step 4: Simplify right side
    33,014.50x = 606,052,438.84
  5. Step 5: Solve for x
    x = 606,052,438.84/33,014.50
  6. Step 6: Final answer
    x = 18,357.16

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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.