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Finding the Fourth Proportional to 76,698.50, 105,843.96 and 43,165.22

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Solution

The fourth proportional to 76,698.50, 105,843.96 and 43,165.22 is: 59,568.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,698.50 : 105,843.96 = 43,165.22 : x
  2. Step 2: Convert to fraction form
    76,698.50/105,843.96 = 43,165.22/x
  3. Step 3: Cross multiply
    76,698.50x = 105,843.96 × 43,165.22
  4. Step 4: Simplify right side
    76,698.50x = 4,568,777,819.07
  5. Step 5: Solve for x
    x = 4,568,777,819.07/76,698.50
  6. Step 6: Final answer
    x = 59,568.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.