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Finding the Fourth Proportional to 54,684.96, 82,016.94 and 23,084.63

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Solution

The fourth proportional to 54,684.96, 82,016.94 and 23,084.63 is: 34,622.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,684.96 : 82,016.94 = 23,084.63 : x
  2. Step 2: Convert to fraction form
    54,684.96/82,016.94 = 23,084.63/x
  3. Step 3: Cross multiply
    54,684.96x = 82,016.94 × 23,084.63
  4. Step 4: Simplify right side
    54,684.96x = 1,893,330,713.63
  5. Step 5: Solve for x
    x = 1,893,330,713.63/54,684.96
  6. Step 6: Final answer
    x = 34,622.51

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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.