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Finding the Fourth Proportional to 80,382.34, 110,860.14 and 51,706.72

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Solution

The fourth proportional to 80,382.34, 110,860.14 and 51,706.72 is: 71,311.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,382.34 : 110,860.14 = 51,706.72 : x
  2. Step 2: Convert to fraction form
    80,382.34/110,860.14 = 51,706.72/x
  3. Step 3: Cross multiply
    80,382.34x = 110,860.14 × 51,706.72
  4. Step 4: Simplify right side
    80,382.34x = 5,732,214,218.14
  5. Step 5: Solve for x
    x = 5,732,214,218.14/80,382.34
  6. Step 6: Final answer
    x = 71,311.86

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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.