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Finding the Fourth Proportional to 71,826.22, 107,620.53 and 36,717.58

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Solution

The fourth proportional to 71,826.22, 107,620.53 and 36,717.58 is: 55,015.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,826.22 : 107,620.53 = 36,717.58 : x
  2. Step 2: Convert to fraction form
    71,826.22/107,620.53 = 36,717.58/x
  3. Step 3: Cross multiply
    71,826.22x = 107,620.53 × 36,717.58
  4. Step 4: Simplify right side
    71,826.22x = 3,951,565,419.92
  5. Step 5: Solve for x
    x = 3,951,565,419.92/71,826.22
  6. Step 6: Final answer
    x = 55,015.64

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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.