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Finding the Fourth Proportional to 42,709.87, 58,942.25 and 23,847

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Solution

The fourth proportional to 42,709.87, 58,942.25 and 23,847 is: 32,910.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,709.87 : 58,942.25 = 23,847 : x
  2. Step 2: Convert to fraction form
    42,709.87/58,942.25 = 23,847/x
  3. Step 3: Cross multiply
    42,709.87x = 58,942.25 × 23,847
  4. Step 4: Simplify right side
    42,709.87x = 1,405,595,835.75
  5. Step 5: Solve for x
    x = 1,405,595,835.75/42,709.87
  6. Step 6: Final answer
    x = 32,910.33

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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.