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Finding the Fourth Proportional to 32,012.88, 47,986.50 and 12,286.14

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Solution

The fourth proportional to 32,012.88, 47,986.50 and 12,286.14 is: 18,416.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,012.88 : 47,986.50 = 12,286.14 : x
  2. Step 2: Convert to fraction form
    32,012.88/47,986.50 = 12,286.14/x
  3. Step 3: Cross multiply
    32,012.88x = 47,986.50 × 12,286.14
  4. Step 4: Simplify right side
    32,012.88x = 589,568,857.11
  5. Step 5: Solve for x
    x = 589,568,857.11/32,012.88
  6. Step 6: Final answer
    x = 18,416.61

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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.