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Finding the Fourth Proportional to 32,696.64, 49,042.44 and 11,635.83

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Solution

The fourth proportional to 32,696.64, 49,042.44 and 11,635.83 is: 17,452.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,696.64 : 49,042.44 = 11,635.83 : x
  2. Step 2: Convert to fraction form
    32,696.64/49,042.44 = 11,635.83/x
  3. Step 3: Cross multiply
    32,696.64x = 49,042.44 × 11,635.83
  4. Step 4: Simplify right side
    32,696.64x = 570,649,494.63
  5. Step 5: Solve for x
    x = 570,649,494.63/32,696.64
  6. Step 6: Final answer
    x = 17,452.85

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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.