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Finding the Fourth Proportional to 80,360.50, 120,540.75 and 31,112.50

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Solution

The fourth proportional to 80,360.50, 120,540.75 and 31,112.50 is: 46,668.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,360.50 : 120,540.75 = 31,112.50 : x
  2. Step 2: Convert to fraction form
    80,360.50/120,540.75 = 31,112.50/x
  3. Step 3: Cross multiply
    80,360.50x = 120,540.75 × 31,112.50
  4. Step 4: Simplify right side
    80,360.50x = 3,750,324,084.38
  5. Step 5: Solve for x
    x = 3,750,324,084.38/80,360.50
  6. Step 6: Final answer
    x = 46,668.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.