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Finding the Fourth Proportional to 38,309.12, 57,456 and 10,609.92

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Solution

The fourth proportional to 38,309.12, 57,456 and 10,609.92 is: 15,912.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,309.12 : 57,456 = 10,609.92 : x
  2. Step 2: Convert to fraction form
    38,309.12/57,456 = 10,609.92/x
  3. Step 3: Cross multiply
    38,309.12x = 57,456 × 10,609.92
  4. Step 4: Simplify right side
    38,309.12x = 609,603,563.52
  5. Step 5: Solve for x
    x = 609,603,563.52/38,309.12
  6. Step 6: Final answer
    x = 15,912.75

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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.