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Finding the Fourth Proportional to 34,143.30, 51,213.12 and 13,093.42

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Solution

The fourth proportional to 34,143.30, 51,213.12 and 13,093.42 is: 19,639.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,143.30 : 51,213.12 = 13,093.42 : x
  2. Step 2: Convert to fraction form
    34,143.30/51,213.12 = 13,093.42/x
  3. Step 3: Cross multiply
    34,143.30x = 51,213.12 × 13,093.42
  4. Step 4: Simplify right side
    34,143.30x = 670,554,889.67
  5. Step 5: Solve for x
    x = 670,554,889.67/34,143.30
  6. Step 6: Final answer
    x = 19,639.43

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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.