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Finding the Fourth Proportional to 32,447.54, 48,676.26 and 13,727.60

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Solution

The fourth proportional to 32,447.54, 48,676.26 and 13,727.60 is: 20,593.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,447.54 : 48,676.26 = 13,727.60 : x
  2. Step 2: Convert to fraction form
    32,447.54/48,676.26 = 13,727.60/x
  3. Step 3: Cross multiply
    32,447.54x = 48,676.26 × 13,727.60
  4. Step 4: Simplify right side
    32,447.54x = 668,208,226.78
  5. Step 5: Solve for x
    x = 668,208,226.78/32,447.54
  6. Step 6: Final answer
    x = 20,593.49

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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.