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Finding the Fourth Proportional to 31,993.20, 47,968.20 and 17,002.80

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Solution

The fourth proportional to 31,993.20, 47,968.20 and 17,002.80 is: 25,492.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,993.20 : 47,968.20 = 17,002.80 : x
  2. Step 2: Convert to fraction form
    31,993.20/47,968.20 = 17,002.80/x
  3. Step 3: Cross multiply
    31,993.20x = 47,968.20 × 17,002.80
  4. Step 4: Simplify right side
    31,993.20x = 815,593,710.96
  5. Step 5: Solve for x
    x = 815,593,710.96/31,993.20
  6. Step 6: Final answer
    x = 25,492.72

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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.