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Finding the Fourth Proportional to 41,717.34, 62,532.27 and 19,512

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Solution

The fourth proportional to 41,717.34, 62,532.27 and 19,512 is: 29,247.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,717.34 : 62,532.27 = 19,512 : x
  2. Step 2: Convert to fraction form
    41,717.34/62,532.27 = 19,512/x
  3. Step 3: Cross multiply
    41,717.34x = 62,532.27 × 19,512
  4. Step 4: Simplify right side
    41,717.34x = 1,220,129,652.24
  5. Step 5: Solve for x
    x = 1,220,129,652.24/41,717.34
  6. Step 6: Final answer
    x = 29,247.54

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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.