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Finding the Fourth Proportional to 84,142.89, 126,181.53 and 31,523.67

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Solution

The fourth proportional to 84,142.89, 126,181.53 and 31,523.67 is: 47,273.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,142.89 : 126,181.53 = 31,523.67 : x
  2. Step 2: Convert to fraction form
    84,142.89/126,181.53 = 31,523.67/x
  3. Step 3: Cross multiply
    84,142.89x = 126,181.53 × 31,523.67
  4. Step 4: Simplify right side
    84,142.89x = 3,977,704,911.82
  5. Step 5: Solve for x
    x = 3,977,704,911.82/84,142.89
  6. Step 6: Final answer
    x = 47,273.21

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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.