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Finding the Fourth Proportional to 77,142.67, 115,728.60 and 27,217.10

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Solution

The fourth proportional to 77,142.67, 115,728.60 and 27,217.10 is: 40,830.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,142.67 : 115,728.60 = 27,217.10 : x
  2. Step 2: Convert to fraction form
    77,142.67/115,728.60 = 27,217.10/x
  3. Step 3: Cross multiply
    77,142.67x = 115,728.60 × 27,217.10
  4. Step 4: Simplify right side
    77,142.67x = 3,149,796,879.06
  5. Step 5: Solve for x
    x = 3,149,796,879.06/77,142.67
  6. Step 6: Final answer
    x = 40,830.80

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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.