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Finding the Fourth Proportional to 32,183.40, 48,272.40 and 9,996.42

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Solution

The fourth proportional to 32,183.40, 48,272.40 and 9,996.42 is: 14,993.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,183.40 : 48,272.40 = 9,996.42 : x
  2. Step 2: Convert to fraction form
    32,183.40/48,272.40 = 9,996.42/x
  3. Step 3: Cross multiply
    32,183.40x = 48,272.40 × 9,996.42
  4. Step 4: Simplify right side
    32,183.40x = 482,551,184.81
  5. Step 5: Solve for x
    x = 482,551,184.81/32,183.40
  6. Step 6: Final answer
    x = 14,993.79

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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.