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Finding the Fourth Proportional to 34,344, 51,497.06 and 10,644.98

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Solution

The fourth proportional to 34,344, 51,497.06 and 10,644.98 is: 15,961.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,344 : 51,497.06 = 10,644.98 : x
  2. Step 2: Convert to fraction form
    34,344/51,497.06 = 10,644.98/x
  3. Step 3: Cross multiply
    34,344x = 51,497.06 × 10,644.98
  4. Step 4: Simplify right side
    34,344x = 548,184,863.05
  5. Step 5: Solve for x
    x = 548,184,863.05/34,344
  6. Step 6: Final answer
    x = 15,961.59

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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.