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Finding the Fourth Proportional to 32,676.48, 48,762 and 27,993.60

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Solution

The fourth proportional to 32,676.48, 48,762 and 27,993.60 is: 41,773.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,676.48 : 48,762 = 27,993.60 : x
  2. Step 2: Convert to fraction form
    32,676.48/48,762 = 27,993.60/x
  3. Step 3: Cross multiply
    32,676.48x = 48,762 × 27,993.60
  4. Step 4: Simplify right side
    32,676.48x = 1,365,023,923.20
  5. Step 5: Solve for x
    x = 1,365,023,923.20/32,676.48
  6. Step 6: Final answer
    x = 41,773.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.