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Finding the Fourth Proportional to 75,951.64, 113,936.55 and 31,608.37

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Solution

The fourth proportional to 75,951.64, 113,936.55 and 31,608.37 is: 47,416.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,951.64 : 113,936.55 = 31,608.37 : x
  2. Step 2: Convert to fraction form
    75,951.64/113,936.55 = 31,608.37/x
  3. Step 3: Cross multiply
    75,951.64x = 113,936.55 × 31,608.37
  4. Step 4: Simplify right side
    75,951.64x = 3,601,348,628.92
  5. Step 5: Solve for x
    x = 3,601,348,628.92/75,951.64
  6. Step 6: Final answer
    x = 47,416.34

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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.