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Finding the Fourth Proportional to 73,178.44, 100,986.35 and 39,644.44

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Solution

The fourth proportional to 73,178.44, 100,986.35 and 39,644.44 is: 54,709.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,178.44 : 100,986.35 = 39,644.44 : x
  2. Step 2: Convert to fraction form
    73,178.44/100,986.35 = 39,644.44/x
  3. Step 3: Cross multiply
    73,178.44x = 100,986.35 × 39,644.44
  4. Step 4: Simplify right side
    73,178.44x = 4,003,546,842.71
  5. Step 5: Solve for x
    x = 4,003,546,842.71/73,178.44
  6. Step 6: Final answer
    x = 54,709.38

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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.