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Finding the Fourth Proportional to 32,940.89, 45,458.11 and 17,833.16

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Solution

The fourth proportional to 32,940.89, 45,458.11 and 17,833.16 is: 24,609.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,940.89 : 45,458.11 = 17,833.16 : x
  2. Step 2: Convert to fraction form
    32,940.89/45,458.11 = 17,833.16/x
  3. Step 3: Cross multiply
    32,940.89x = 45,458.11 × 17,833.16
  4. Step 4: Simplify right side
    32,940.89x = 810,661,477.05
  5. Step 5: Solve for x
    x = 810,661,477.05/32,940.89
  6. Step 6: Final answer
    x = 24,609.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.