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Finding the Fourth Proportional to 33,783.84, 50,678.73 and 8,823.69

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Solution

The fourth proportional to 33,783.84, 50,678.73 and 8,823.69 is: 13,236.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,783.84 : 50,678.73 = 8,823.69 : x
  2. Step 2: Convert to fraction form
    33,783.84/50,678.73 = 8,823.69/x
  3. Step 3: Cross multiply
    33,783.84x = 50,678.73 × 8,823.69
  4. Step 4: Simplify right side
    33,783.84x = 447,173,403.11
  5. Step 5: Solve for x
    x = 447,173,403.11/33,783.84
  6. Step 6: Final answer
    x = 13,236.31

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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.