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Finding the Fourth Proportional to 51,902.95, 71,611.25 and 29,234.02

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Solution

The fourth proportional to 51,902.95, 71,611.25 and 29,234.02 is: 40,334.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,902.95 : 71,611.25 = 29,234.02 : x
  2. Step 2: Convert to fraction form
    51,902.95/71,611.25 = 29,234.02/x
  3. Step 3: Cross multiply
    51,902.95x = 71,611.25 × 29,234.02
  4. Step 4: Simplify right side
    51,902.95x = 2,093,484,499.15
  5. Step 5: Solve for x
    x = 2,093,484,499.15/51,902.95
  6. Step 6: Final answer
    x = 40,334.60

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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.