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Finding the Fourth Proportional to 81,628.22, 122,419.15 and 31,697.66

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Solution

The fourth proportional to 81,628.22, 122,419.15 and 31,697.66 is: 47,537.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,628.22 : 122,419.15 = 31,697.66 : x
  2. Step 2: Convert to fraction form
    81,628.22/122,419.15 = 31,697.66/x
  3. Step 3: Cross multiply
    81,628.22x = 122,419.15 × 31,697.66
  4. Step 4: Simplify right side
    81,628.22x = 3,880,400,820.99
  5. Step 5: Solve for x
    x = 3,880,400,820.99/81,628.22
  6. Step 6: Final answer
    x = 47,537.49

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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.