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Finding the Fourth Proportional to 32,659.24, 48,975.02 and 11,604.54

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Solution

The fourth proportional to 32,659.24, 48,975.02 and 11,604.54 is: 17,401.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,659.24 : 48,975.02 = 11,604.54 : x
  2. Step 2: Convert to fraction form
    32,659.24/48,975.02 = 11,604.54/x
  3. Step 3: Cross multiply
    32,659.24x = 48,975.02 × 11,604.54
  4. Step 4: Simplify right side
    32,659.24x = 568,332,578.59
  5. Step 5: Solve for x
    x = 568,332,578.59/32,659.24
  6. Step 6: Final answer
    x = 17,401.89

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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.