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Finding the Fourth Proportional to 81,651.20, 122,484.50 and 31,735.12

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Solution

The fourth proportional to 81,651.20, 122,484.50 and 31,735.12 is: 47,605.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,651.20 : 122,484.50 = 31,735.12 : x
  2. Step 2: Convert to fraction form
    81,651.20/122,484.50 = 31,735.12/x
  3. Step 3: Cross multiply
    81,651.20x = 122,484.50 × 31,735.12
  4. Step 4: Simplify right side
    81,651.20x = 3,887,060,305.64
  5. Step 5: Solve for x
    x = 3,887,060,305.64/81,651.20
  6. Step 6: Final answer
    x = 47,605.67

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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.