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Finding the Fourth Proportional to 52,509.65, 78,769.38 and 20,912.09

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Solution

The fourth proportional to 52,509.65, 78,769.38 and 20,912.09 is: 31,370.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,509.65 : 78,769.38 = 20,912.09 : x
  2. Step 2: Convert to fraction form
    52,509.65/78,769.38 = 20,912.09/x
  3. Step 3: Cross multiply
    52,509.65x = 78,769.38 × 20,912.09
  4. Step 4: Simplify right side
    52,509.65x = 1,647,232,363.80
  5. Step 5: Solve for x
    x = 1,647,232,363.80/52,509.65
  6. Step 6: Final answer
    x = 31,370.09

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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.