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Finding the Fourth Proportional to 32,804.94, 49,163.82 and 13,072.64

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Solution

The fourth proportional to 32,804.94, 49,163.82 and 13,072.64 is: 19,591.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,804.94 : 49,163.82 = 13,072.64 : x
  2. Step 2: Convert to fraction form
    32,804.94/49,163.82 = 13,072.64/x
  3. Step 3: Cross multiply
    32,804.94x = 49,163.82 × 13,072.64
  4. Step 4: Simplify right side
    32,804.94x = 642,700,919.88
  5. Step 5: Solve for x
    x = 642,700,919.88/32,804.94
  6. Step 6: Final answer
    x = 19,591.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.