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Finding the Fourth Proportional to 31,994.40, 47,991.60 and 17,997.60

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Solution

The fourth proportional to 31,994.40, 47,991.60 and 17,997.60 is: 26,996.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,994.40 : 47,991.60 = 17,997.60 : x
  2. Step 2: Convert to fraction form
    31,994.40/47,991.60 = 17,997.60/x
  3. Step 3: Cross multiply
    31,994.40x = 47,991.60 × 17,997.60
  4. Step 4: Simplify right side
    31,994.40x = 863,733,620.16
  5. Step 5: Solve for x
    x = 863,733,620.16/31,994.40
  6. Step 6: Final answer
    x = 26,996.40

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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.