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Finding the Fourth Proportional to 33,401.60, 50,102.40 and 31,198.40

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Solution

The fourth proportional to 33,401.60, 50,102.40 and 31,198.40 is: 46,797.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,401.60 : 50,102.40 = 31,198.40 : x
  2. Step 2: Convert to fraction form
    33,401.60/50,102.40 = 31,198.40/x
  3. Step 3: Cross multiply
    33,401.60x = 50,102.40 × 31,198.40
  4. Step 4: Simplify right side
    33,401.60x = 1,563,114,716.16
  5. Step 5: Solve for x
    x = 1,563,114,716.16/33,401.60
  6. Step 6: Final answer
    x = 46,797.60

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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.