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Finding the Fourth Proportional to 72,016.50, 108,024.43 and 19,431.22

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Solution

The fourth proportional to 72,016.50, 108,024.43 and 19,431.22 is: 29,146.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,016.50 : 108,024.43 = 19,431.22 : x
  2. Step 2: Convert to fraction form
    72,016.50/108,024.43 = 19,431.22/x
  3. Step 3: Cross multiply
    72,016.50x = 108,024.43 × 19,431.22
  4. Step 4: Simplify right side
    72,016.50x = 2,099,046,464.70
  5. Step 5: Solve for x
    x = 2,099,046,464.70/72,016.50
  6. Step 6: Final answer
    x = 29,146.74

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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.