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Finding the Fourth Proportional to 31,797.75, 47,697.64 and 15,994.15

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Solution

The fourth proportional to 31,797.75, 47,697.64 and 15,994.15 is: 23,991.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,797.75 : 47,697.64 = 15,994.15 : x
  2. Step 2: Convert to fraction form
    31,797.75/47,697.64 = 15,994.15/x
  3. Step 3: Cross multiply
    31,797.75x = 47,697.64 × 15,994.15
  4. Step 4: Simplify right side
    31,797.75x = 762,883,009.59
  5. Step 5: Solve for x
    x = 762,883,009.59/31,797.75
  6. Step 6: Final answer
    x = 23,991.73

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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.