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Finding the Fourth Proportional to 32,003.20, 47,983.20 and 17,012.80

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Solution

The fourth proportional to 32,003.20, 47,983.20 and 17,012.80 is: 25,507.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,003.20 : 47,983.20 = 17,012.80 : x
  2. Step 2: Convert to fraction form
    32,003.20/47,983.20 = 17,012.80/x
  3. Step 3: Cross multiply
    32,003.20x = 47,983.20 × 17,012.80
  4. Step 4: Simplify right side
    32,003.20x = 816,328,584.96
  5. Step 5: Solve for x
    x = 816,328,584.96/32,003.20
  6. Step 6: Final answer
    x = 25,507.72

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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.