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Finding the Fourth Proportional to 33,050.36, 49,568.24 and 9,678.62

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Solution

The fourth proportional to 33,050.36, 49,568.24 and 9,678.62 is: 14,515.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,050.36 : 49,568.24 = 9,678.62 : x
  2. Step 2: Convert to fraction form
    33,050.36/49,568.24 = 9,678.62/x
  3. Step 3: Cross multiply
    33,050.36x = 49,568.24 × 9,678.62
  4. Step 4: Simplify right side
    33,050.36x = 479,751,862.79
  5. Step 5: Solve for x
    x = 479,751,862.79/33,050.36
  6. Step 6: Final answer
    x = 14,515.79

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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.