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Finding the Fourth Proportional to 52,194.56, 72,016 and 29,832.96

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Solution

The fourth proportional to 52,194.56, 72,016 and 29,832.96 is: 41,162.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,194.56 : 72,016 = 29,832.96 : x
  2. Step 2: Convert to fraction form
    52,194.56/72,016 = 29,832.96/x
  3. Step 3: Cross multiply
    52,194.56x = 72,016 × 29,832.96
  4. Step 4: Simplify right side
    52,194.56x = 2,148,450,447.36
  5. Step 5: Solve for x
    x = 2,148,450,447.36/52,194.56
  6. Step 6: Final answer
    x = 41,162.34

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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.