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Finding the Fourth Proportional to 34,504.68, 51,709.32 and 15,738.96

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Solution

The fourth proportional to 34,504.68, 51,709.32 and 15,738.96 is: 23,586.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,504.68 : 51,709.32 = 15,738.96 : x
  2. Step 2: Convert to fraction form
    34,504.68/51,709.32 = 15,738.96/x
  3. Step 3: Cross multiply
    34,504.68x = 51,709.32 × 15,738.96
  4. Step 4: Simplify right side
    34,504.68x = 813,850,919.11
  5. Step 5: Solve for x
    x = 813,850,919.11/34,504.68
  6. Step 6: Final answer
    x = 23,586.68

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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.