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Finding the Fourth Proportional to 31,996.32, 47,994.44 and 17,212.20

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Solution

The fourth proportional to 31,996.32, 47,994.44 and 17,212.20 is: 25,818.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,996.32 : 47,994.44 = 17,212.20 : x
  2. Step 2: Convert to fraction form
    31,996.32/47,994.44 = 17,212.20/x
  3. Step 3: Cross multiply
    31,996.32x = 47,994.44 × 17,212.20
  4. Step 4: Simplify right side
    31,996.32x = 826,089,900.17
  5. Step 5: Solve for x
    x = 826,089,900.17/31,996.32
  6. Step 6: Final answer
    x = 25,818.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.