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Finding the Fourth Proportional to 33,329.86, 49,994.74 and 13,348.35

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Solution

The fourth proportional to 33,329.86, 49,994.74 and 13,348.35 is: 20,022.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,329.86 : 49,994.74 = 13,348.35 : x
  2. Step 2: Convert to fraction form
    33,329.86/49,994.74 = 13,348.35/x
  3. Step 3: Cross multiply
    33,329.86x = 49,994.74 × 13,348.35
  4. Step 4: Simplify right side
    33,329.86x = 667,347,287.68
  5. Step 5: Solve for x
    x = 667,347,287.68/33,329.86
  6. Step 6: Final answer
    x = 20,022.50

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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.