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Finding the Fourth Proportional to 113,997.50, 170,996.31 and 30,891.50

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Solution

The fourth proportional to 113,997.50, 170,996.31 and 30,891.50 is: 46,337.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,997.50 : 170,996.31 = 30,891.50 : x
  2. Step 2: Convert to fraction form
    113,997.50/170,996.31 = 30,891.50/x
  3. Step 3: Cross multiply
    113,997.50x = 170,996.31 × 30,891.50
  4. Step 4: Simplify right side
    113,997.50x = 5,282,332,510.37
  5. Step 5: Solve for x
    x = 5,282,332,510.37/113,997.50
  6. Step 6: Final answer
    x = 46,337.27

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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.