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Finding the Fourth Proportional to 33,007.69, 49,510.71 and 9,634.33

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Solution

The fourth proportional to 33,007.69, 49,510.71 and 9,634.33 is: 14,451.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,007.69 : 49,510.71 = 9,634.33 : x
  2. Step 2: Convert to fraction form
    33,007.69/49,510.71 = 9,634.33/x
  3. Step 3: Cross multiply
    33,007.69x = 49,510.71 × 9,634.33
  4. Step 4: Simplify right side
    33,007.69x = 477,002,518.67
  5. Step 5: Solve for x
    x = 477,002,518.67/33,007.69
  6. Step 6: Final answer
    x = 14,451.25

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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.