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Finding the Fourth Proportional to 48,015.80, 72,023.70 and 32,982.20

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Solution

The fourth proportional to 48,015.80, 72,023.70 and 32,982.20 is: 49,473.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,015.80 : 72,023.70 = 32,982.20 : x
  2. Step 2: Convert to fraction form
    48,015.80/72,023.70 = 32,982.20/x
  3. Step 3: Cross multiply
    48,015.80x = 72,023.70 × 32,982.20
  4. Step 4: Simplify right side
    48,015.80x = 2,375,500,078.14
  5. Step 5: Solve for x
    x = 2,375,500,078.14/48,015.80
  6. Step 6: Final answer
    x = 49,473.30

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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.