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Finding the Fourth Proportional to 77,267.50, 115,887.96 and 23,231.38

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Solution

The fourth proportional to 77,267.50, 115,887.96 and 23,231.38 is: 34,843.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,267.50 : 115,887.96 = 23,231.38 : x
  2. Step 2: Convert to fraction form
    77,267.50/115,887.96 = 23,231.38/x
  3. Step 3: Cross multiply
    77,267.50x = 115,887.96 × 23,231.38
  4. Step 4: Simplify right side
    77,267.50x = 2,692,237,236.18
  5. Step 5: Solve for x
    x = 2,692,237,236.18/77,267.50
  6. Step 6: Final answer
    x = 34,843.07

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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.