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Finding the Fourth Proportional to 32,778.36, 49,162.68 and 11,997

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Solution

The fourth proportional to 32,778.36, 49,162.68 and 11,997 is: 17,993.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,778.36 : 49,162.68 = 11,997 : x
  2. Step 2: Convert to fraction form
    32,778.36/49,162.68 = 11,997/x
  3. Step 3: Cross multiply
    32,778.36x = 49,162.68 × 11,997
  4. Step 4: Simplify right side
    32,778.36x = 589,804,671.96
  5. Step 5: Solve for x
    x = 589,804,671.96/32,778.36
  6. Step 6: Final answer
    x = 17,993.72

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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.