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Finding the Fourth Proportional to 51,589.50, 71,193.54 and 30,381.84

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Solution

The fourth proportional to 51,589.50, 71,193.54 and 30,381.84 is: 41,926.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,589.50 : 71,193.54 = 30,381.84 : x
  2. Step 2: Convert to fraction form
    51,589.50/71,193.54 = 30,381.84/x
  3. Step 3: Cross multiply
    51,589.50x = 71,193.54 × 30,381.84
  4. Step 4: Simplify right side
    51,589.50x = 2,162,990,741.31
  5. Step 5: Solve for x
    x = 2,162,990,741.31/51,589.50
  6. Step 6: Final answer
    x = 41,926.96

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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.