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Finding the Fourth Proportional to 34,372.82, 51,544.64 and 12,191.78

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Solution

The fourth proportional to 34,372.82, 51,544.64 and 12,191.78 is: 18,282.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,372.82 : 51,544.64 = 12,191.78 : x
  2. Step 2: Convert to fraction form
    34,372.82/51,544.64 = 12,191.78/x
  3. Step 3: Cross multiply
    34,372.82x = 51,544.64 × 12,191.78
  4. Step 4: Simplify right side
    34,372.82x = 628,420,911.06
  5. Step 5: Solve for x
    x = 628,420,911.06/34,372.82
  6. Step 6: Final answer
    x = 18,282.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.