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Finding the Fourth Proportional to 32,969.21, 49,453.11 and 8,009.37

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Solution

The fourth proportional to 32,969.21, 49,453.11 and 8,009.37 is: 12,013.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,969.21 : 49,453.11 = 8,009.37 : x
  2. Step 2: Convert to fraction form
    32,969.21/49,453.11 = 8,009.37/x
  3. Step 3: Cross multiply
    32,969.21x = 49,453.11 × 8,009.37
  4. Step 4: Simplify right side
    32,969.21x = 396,088,255.64
  5. Step 5: Solve for x
    x = 396,088,255.64/32,969.21
  6. Step 6: Final answer
    x = 12,013.89

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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.