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Finding the Fourth Proportional to 90,174.50, 135,243.28 and 31,014.78

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Solution

The fourth proportional to 90,174.50, 135,243.28 and 31,014.78 is: 46,515.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,174.50 : 135,243.28 = 31,014.78 : x
  2. Step 2: Convert to fraction form
    90,174.50/135,243.28 = 31,014.78/x
  3. Step 3: Cross multiply
    90,174.50x = 135,243.28 × 31,014.78
  4. Step 4: Simplify right side
    90,174.50x = 4,194,540,575.68
  5. Step 5: Solve for x
    x = 4,194,540,575.68/90,174.50
  6. Step 6: Final answer
    x = 46,515.82

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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.