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Finding the Fourth Proportional to 32,650.70, 48,982.12 and 11,603.25

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Solution

The fourth proportional to 32,650.70, 48,982.12 and 11,603.25 is: 17,407.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,650.70 : 48,982.12 = 11,603.25 : x
  2. Step 2: Convert to fraction form
    32,650.70/48,982.12 = 11,603.25/x
  3. Step 3: Cross multiply
    32,650.70x = 48,982.12 × 11,603.25
  4. Step 4: Simplify right side
    32,650.70x = 568,351,754.88
  5. Step 5: Solve for x
    x = 568,351,754.88/32,650.70
  6. Step 6: Final answer
    x = 17,407.03

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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.