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Finding the Fourth Proportional to 51,602.32, 71,197.50 and 30,377.44

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Solution

The fourth proportional to 51,602.32, 71,197.50 and 30,377.44 is: 41,912.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,602.32 : 71,197.50 = 30,377.44 : x
  2. Step 2: Convert to fraction form
    51,602.32/71,197.50 = 30,377.44/x
  3. Step 3: Cross multiply
    51,602.32x = 71,197.50 × 30,377.44
  4. Step 4: Simplify right side
    51,602.32x = 2,162,797,784.40
  5. Step 5: Solve for x
    x = 2,162,797,784.40/51,602.32
  6. Step 6: Final answer
    x = 41,912.80

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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.