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Finding the Fourth Proportional to 34,634.38, 51,920.40 and 12,442.54

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Solution

The fourth proportional to 34,634.38, 51,920.40 and 12,442.54 is: 18,652.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,634.38 : 51,920.40 = 12,442.54 : x
  2. Step 2: Convert to fraction form
    34,634.38/51,920.40 = 12,442.54/x
  3. Step 3: Cross multiply
    34,634.38x = 51,920.40 × 12,442.54
  4. Step 4: Simplify right side
    34,634.38x = 646,021,653.82
  5. Step 5: Solve for x
    x = 646,021,653.82/34,634.38
  6. Step 6: Final answer
    x = 18,652.61

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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.