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Finding the Fourth Proportional to 32,121.60, 48,297.60 and 27,052.80

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Solution

The fourth proportional to 32,121.60, 48,297.60 and 27,052.80 is: 40,676.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,121.60 : 48,297.60 = 27,052.80 : x
  2. Step 2: Convert to fraction form
    32,121.60/48,297.60 = 27,052.80/x
  3. Step 3: Cross multiply
    32,121.60x = 48,297.60 × 27,052.80
  4. Step 4: Simplify right side
    32,121.60x = 1,306,585,313.28
  5. Step 5: Solve for x
    x = 1,306,585,313.28/32,121.60
  6. Step 6: Final answer
    x = 40,676.22

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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.