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Finding the Fourth Proportional to 34,105.68, 51,236.28 and 32,706

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Solution

The fourth proportional to 34,105.68, 51,236.28 and 32,706 is: 49,133.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,105.68 : 51,236.28 = 32,706 : x
  2. Step 2: Convert to fraction form
    34,105.68/51,236.28 = 32,706/x
  3. Step 3: Cross multiply
    34,105.68x = 51,236.28 × 32,706
  4. Step 4: Simplify right side
    34,105.68x = 1,675,733,773.68
  5. Step 5: Solve for x
    x = 1,675,733,773.68/34,105.68
  6. Step 6: Final answer
    x = 49,133.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.