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Finding the Fourth Proportional to 34,408.56, 51,615.24 and 13,632

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Solution

The fourth proportional to 34,408.56, 51,615.24 and 13,632 is: 20,448.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,408.56 : 51,615.24 = 13,632 : x
  2. Step 2: Convert to fraction form
    34,408.56/51,615.24 = 13,632/x
  3. Step 3: Cross multiply
    34,408.56x = 51,615.24 × 13,632
  4. Step 4: Simplify right side
    34,408.56x = 703,618,951.68
  5. Step 5: Solve for x
    x = 703,618,951.68/34,408.56
  6. Step 6: Final answer
    x = 20,448.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.