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Finding the Fourth Proportional to 33,142.62, 49,712.30 and 12,364.50

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Solution

The fourth proportional to 33,142.62, 49,712.30 and 12,364.50 is: 18,546.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,142.62 : 49,712.30 = 12,364.50 : x
  2. Step 2: Convert to fraction form
    33,142.62/49,712.30 = 12,364.50/x
  3. Step 3: Cross multiply
    33,142.62x = 49,712.30 × 12,364.50
  4. Step 4: Simplify right side
    33,142.62x = 614,667,733.35
  5. Step 5: Solve for x
    x = 614,667,733.35/33,142.62
  6. Step 6: Final answer
    x = 18,546.14

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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.