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Finding the Fourth Proportional to 51,611.40, 71,229.30 and 29,253

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Solution

The fourth proportional to 51,611.40, 71,229.30 and 29,253 is: 40,372.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,611.40 : 71,229.30 = 29,253 : x
  2. Step 2: Convert to fraction form
    51,611.40/71,229.30 = 29,253/x
  3. Step 3: Cross multiply
    51,611.40x = 71,229.30 × 29,253
  4. Step 4: Simplify right side
    51,611.40x = 2,083,670,712.90
  5. Step 5: Solve for x
    x = 2,083,670,712.90/51,611.40
  6. Step 6: Final answer
    x = 40,372.30

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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.