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Finding the Fourth Proportional to 32,969.02, 49,453.11 and 8,009.32

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Solution

The fourth proportional to 32,969.02, 49,453.11 and 8,009.32 is: 12,013.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,969.02 : 49,453.11 = 8,009.32 : x
  2. Step 2: Convert to fraction form
    32,969.02/49,453.11 = 8,009.32/x
  3. Step 3: Cross multiply
    32,969.02x = 49,453.11 × 8,009.32
  4. Step 4: Simplify right side
    32,969.02x = 396,085,782.99
  5. Step 5: Solve for x
    x = 396,085,782.99/32,969.02
  6. Step 6: Final answer
    x = 12,013.88

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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.