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Finding the Fourth Proportional to 72,974.29, 109,458.50 and 23,057.23

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Solution

The fourth proportional to 72,974.29, 109,458.50 and 23,057.23 is: 34,584.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,974.29 : 109,458.50 = 23,057.23 : x
  2. Step 2: Convert to fraction form
    72,974.29/109,458.50 = 23,057.23/x
  3. Step 3: Cross multiply
    72,974.29x = 109,458.50 × 23,057.23
  4. Step 4: Simplify right side
    72,974.29x = 2,523,809,809.96
  5. Step 5: Solve for x
    x = 2,523,809,809.96/72,974.29
  6. Step 6: Final answer
    x = 34,584.92

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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.