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Finding the Fourth Proportional to 34,495.39, 51,729.72 and 13,432.42

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Solution

The fourth proportional to 34,495.39, 51,729.72 and 13,432.42 is: 20,143.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,495.39 : 51,729.72 = 13,432.42 : x
  2. Step 2: Convert to fraction form
    34,495.39/51,729.72 = 13,432.42/x
  3. Step 3: Cross multiply
    34,495.39x = 51,729.72 × 13,432.42
  4. Step 4: Simplify right side
    34,495.39x = 694,855,325.52
  5. Step 5: Solve for x
    x = 694,855,325.52/34,495.39
  6. Step 6: Final answer
    x = 20,143.43

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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.