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Finding the Fourth Proportional to 32,446.60, 48,612.30 and 20,120.20

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Solution

The fourth proportional to 32,446.60, 48,612.30 and 20,120.20 is: 30,144.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,446.60 : 48,612.30 = 20,120.20 : x
  2. Step 2: Convert to fraction form
    32,446.60/48,612.30 = 20,120.20/x
  3. Step 3: Cross multiply
    32,446.60x = 48,612.30 × 20,120.20
  4. Step 4: Simplify right side
    32,446.60x = 978,089,198.46
  5. Step 5: Solve for x
    x = 978,089,198.46/32,446.60
  6. Step 6: Final answer
    x = 30,144.58

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1.5x scale

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.