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Finding the Fourth Proportional to 51,416.44, 70,951.22 and 29,059

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Solution

The fourth proportional to 51,416.44, 70,951.22 and 29,059 is: 40,099.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,416.44 : 70,951.22 = 29,059 : x
  2. Step 2: Convert to fraction form
    51,416.44/70,951.22 = 29,059/x
  3. Step 3: Cross multiply
    51,416.44x = 70,951.22 × 29,059
  4. Step 4: Simplify right side
    51,416.44x = 2,061,771,501.98
  5. Step 5: Solve for x
    x = 2,061,771,501.98/51,416.44
  6. Step 6: Final answer
    x = 40,099.46

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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.