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Finding the Fourth Proportional to 33,039.98, 49,567.66 and 9,668.24

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Solution

The fourth proportional to 33,039.98, 49,567.66 and 9,668.24 is: 14,504.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,039.98 : 49,567.66 = 9,668.24 : x
  2. Step 2: Convert to fraction form
    33,039.98/49,567.66 = 9,668.24/x
  3. Step 3: Cross multiply
    33,039.98x = 49,567.66 × 9,668.24
  4. Step 4: Simplify right side
    33,039.98x = 479,231,761.11
  5. Step 5: Solve for x
    x = 479,231,761.11/33,039.98
  6. Step 6: Final answer
    x = 14,504.60

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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.