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Finding the Fourth Proportional to 68,463.94, 102,708.87 and 31,527.94

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Solution

The fourth proportional to 68,463.94, 102,708.87 and 31,527.94 is: 47,297.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,463.94 : 102,708.87 = 31,527.94 : x
  2. Step 2: Convert to fraction form
    68,463.94/102,708.87 = 31,527.94/x
  3. Step 3: Cross multiply
    68,463.94x = 102,708.87 × 31,527.94
  4. Step 4: Simplify right side
    68,463.94x = 3,238,198,755.24
  5. Step 5: Solve for x
    x = 3,238,198,755.24/68,463.94
  6. Step 6: Final answer
    x = 47,297.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.