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Finding the Fourth Proportional to 34,419, 51,597.90 and 12,229.44

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Solution

The fourth proportional to 34,419, 51,597.90 and 12,229.44 is: 18,333.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,419 : 51,597.90 = 12,229.44 : x
  2. Step 2: Convert to fraction form
    34,419/51,597.90 = 12,229.44/x
  3. Step 3: Cross multiply
    34,419x = 51,597.90 × 12,229.44
  4. Step 4: Simplify right side
    34,419x = 631,013,422.18
  5. Step 5: Solve for x
    x = 631,013,422.18/34,419
  6. Step 6: Final answer
    x = 18,333.29

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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.