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Finding the Fourth Proportional to 38,457, 57,687.66 and 10,757.16

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Solution

The fourth proportional to 38,457, 57,687.66 and 10,757.16 is: 16,136.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,457 : 57,687.66 = 10,757.16 : x
  2. Step 2: Convert to fraction form
    38,457/57,687.66 = 10,757.16/x
  3. Step 3: Cross multiply
    38,457x = 57,687.66 × 10,757.16
  4. Step 4: Simplify right side
    38,457x = 620,555,388.65
  5. Step 5: Solve for x
    x = 620,555,388.65/38,457
  6. Step 6: Final answer
    x = 16,136.34

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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.