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Finding the Fourth Proportional to 34,620.98, 51,934.01 and 12,434.54

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Solution

The fourth proportional to 34,620.98, 51,934.01 and 12,434.54 is: 18,652.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,620.98 : 51,934.01 = 12,434.54 : x
  2. Step 2: Convert to fraction form
    34,620.98/51,934.01 = 12,434.54/x
  3. Step 3: Cross multiply
    34,620.98x = 51,934.01 × 12,434.54
  4. Step 4: Simplify right side
    34,620.98x = 645,775,202.86
  5. Step 5: Solve for x
    x = 645,775,202.86/34,620.98
  6. Step 6: Final answer
    x = 18,652.72

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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.