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Finding the Fourth Proportional to 32,449.74, 48,676.50 and 11,673.24

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Solution

The fourth proportional to 32,449.74, 48,676.50 and 11,673.24 is: 17,510.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,449.74 : 48,676.50 = 11,673.24 : x
  2. Step 2: Convert to fraction form
    32,449.74/48,676.50 = 11,673.24/x
  3. Step 3: Cross multiply
    32,449.74x = 48,676.50 × 11,673.24
  4. Step 4: Simplify right side
    32,449.74x = 568,212,466.86
  5. Step 5: Solve for x
    x = 568,212,466.86/32,449.74
  6. Step 6: Final answer
    x = 17,510.54

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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.