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Finding the Fourth Proportional to 33,165.51, 49,716.99 and 16,509.78

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Solution

The fourth proportional to 33,165.51, 49,716.99 and 16,509.78 is: 24,749.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,165.51 : 49,716.99 = 16,509.78 : x
  2. Step 2: Convert to fraction form
    33,165.51/49,716.99 = 16,509.78/x
  3. Step 3: Cross multiply
    33,165.51x = 49,716.99 × 16,509.78
  4. Step 4: Simplify right side
    33,165.51x = 820,816,567.16
  5. Step 5: Solve for x
    x = 820,816,567.16/33,165.51
  6. Step 6: Final answer
    x = 24,749.10

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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.