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Finding the Fourth Proportional to 73,289.33, 109,986.48 and 31,198.92

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Solution

The fourth proportional to 73,289.33, 109,986.48 and 31,198.92 is: 46,820.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,289.33 : 109,986.48 = 31,198.92 : x
  2. Step 2: Convert to fraction form
    73,289.33/109,986.48 = 31,198.92/x
  3. Step 3: Cross multiply
    73,289.33x = 109,986.48 × 31,198.92
  4. Step 4: Simplify right side
    73,289.33x = 3,431,459,390.60
  5. Step 5: Solve for x
    x = 3,431,459,390.60/73,289.33
  6. Step 6: Final answer
    x = 46,820.73

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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.