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Finding the Fourth Proportional to 51,662, 71,282.56 and 30,433.52

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Solution

The fourth proportional to 51,662, 71,282.56 and 30,433.52 is: 41,991.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,662 : 71,282.56 = 30,433.52 : x
  2. Step 2: Convert to fraction form
    51,662/71,282.56 = 30,433.52/x
  3. Step 3: Cross multiply
    51,662x = 71,282.56 × 30,433.52
  4. Step 4: Simplify right side
    51,662x = 2,169,379,215.41
  5. Step 5: Solve for x
    x = 2,169,379,215.41/51,662
  6. Step 6: Final answer
    x = 41,991.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.