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Finding the Fourth Proportional to 31,367.85, 47,052.06 and 7,994.28

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Solution

The fourth proportional to 31,367.85, 47,052.06 and 7,994.28 is: 11,991.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,367.85 : 47,052.06 = 7,994.28 : x
  2. Step 2: Convert to fraction form
    31,367.85/47,052.06 = 7,994.28/x
  3. Step 3: Cross multiply
    31,367.85x = 47,052.06 × 7,994.28
  4. Step 4: Simplify right side
    31,367.85x = 376,147,342.22
  5. Step 5: Solve for x
    x = 376,147,342.22/31,367.85
  6. Step 6: Final answer
    x = 11,991.49

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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.