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Finding the Fourth Proportional to 27,829, 41,674.25 and 19,469.88

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Solution

The fourth proportional to 27,829, 41,674.25 and 19,469.88 is: 29,156.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,829 : 41,674.25 = 19,469.88 : x
  2. Step 2: Convert to fraction form
    27,829/41,674.25 = 19,469.88/x
  3. Step 3: Cross multiply
    27,829x = 41,674.25 × 19,469.88
  4. Step 4: Simplify right side
    27,829x = 811,392,646.59
  5. Step 5: Solve for x
    x = 811,392,646.59/27,829
  6. Step 6: Final answer
    x = 29,156.37

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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.