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Finding the Fourth Proportional to 115,234.50, 172,851.76 and 27,682.50

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Solution

The fourth proportional to 115,234.50, 172,851.76 and 27,682.50 is: 41,523.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,234.50 : 172,851.76 = 27,682.50 : x
  2. Step 2: Convert to fraction form
    115,234.50/172,851.76 = 27,682.50/x
  3. Step 3: Cross multiply
    115,234.50x = 172,851.76 × 27,682.50
  4. Step 4: Simplify right side
    115,234.50x = 4,784,968,846.20
  5. Step 5: Solve for x
    x = 4,784,968,846.20/115,234.50
  6. Step 6: Final answer
    x = 41,523.75

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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.