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Finding the Fourth Proportional to 33,178.37, 49,775.99 and 9,804.81

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Solution

The fourth proportional to 33,178.37, 49,775.99 and 9,804.81 is: 14,709.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,178.37 : 49,775.99 = 9,804.81 : x
  2. Step 2: Convert to fraction form
    33,178.37/49,775.99 = 9,804.81/x
  3. Step 3: Cross multiply
    33,178.37x = 49,775.99 × 9,804.81
  4. Step 4: Simplify right side
    33,178.37x = 488,044,075.49
  5. Step 5: Solve for x
    x = 488,044,075.49/33,178.37
  6. Step 6: Final answer
    x = 14,709.71

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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.