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Finding the Fourth Proportional to 72,456.56, 108,716 and 39,200

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Solution

The fourth proportional to 72,456.56, 108,716 and 39,200 is: 58,816.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,456.56 : 108,716 = 39,200 : x
  2. Step 2: Convert to fraction form
    72,456.56/108,716 = 39,200/x
  3. Step 3: Cross multiply
    72,456.56x = 108,716 × 39,200
  4. Step 4: Simplify right side
    72,456.56x = 4,261,667,200
  5. Step 5: Solve for x
    x = 4,261,667,200/72,456.56
  6. Step 6: Final answer
    x = 58,816.86

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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.