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Finding the Fourth Proportional to 32,057.54, 48,080.27 and 8,680.90

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Solution

The fourth proportional to 32,057.54, 48,080.27 and 8,680.90 is: 13,019.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,057.54 : 48,080.27 = 8,680.90 : x
  2. Step 2: Convert to fraction form
    32,057.54/48,080.27 = 8,680.90/x
  3. Step 3: Cross multiply
    32,057.54x = 48,080.27 × 8,680.90
  4. Step 4: Simplify right side
    32,057.54x = 417,380,015.84
  5. Step 5: Solve for x
    x = 417,380,015.84/32,057.54
  6. Step 6: Final answer
    x = 13,019.71

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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.