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Finding the Fourth Proportional to 33,339.78, 49,994.28 and 12,274.53

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Solution

The fourth proportional to 33,339.78, 49,994.28 and 12,274.53 is: 18,406.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,339.78 : 49,994.28 = 12,274.53 : x
  2. Step 2: Convert to fraction form
    33,339.78/49,994.28 = 12,274.53/x
  3. Step 3: Cross multiply
    33,339.78x = 49,994.28 × 12,274.53
  4. Step 4: Simplify right side
    33,339.78x = 613,656,289.69
  5. Step 5: Solve for x
    x = 613,656,289.69/33,339.78
  6. Step 6: Final answer
    x = 18,406.13

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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.