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Finding the Fourth Proportional to 34,592.36, 51,857.82 and 12,689

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Solution

The fourth proportional to 34,592.36, 51,857.82 and 12,689 is: 19,022.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,592.36 : 51,857.82 = 12,689 : x
  2. Step 2: Convert to fraction form
    34,592.36/51,857.82 = 12,689/x
  3. Step 3: Cross multiply
    34,592.36x = 51,857.82 × 12,689
  4. Step 4: Simplify right side
    34,592.36x = 658,023,877.98
  5. Step 5: Solve for x
    x = 658,023,877.98/34,592.36
  6. Step 6: Final answer
    x = 19,022.23

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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.