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Finding the Fourth Proportional to 27,529, 37,996.80 and 15,599.38

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Solution

The fourth proportional to 27,529, 37,996.80 and 15,599.38 is: 21,530.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,529 : 37,996.80 = 15,599.38 : x
  2. Step 2: Convert to fraction form
    27,529/37,996.80 = 15,599.38/x
  3. Step 3: Cross multiply
    27,529x = 37,996.80 × 15,599.38
  4. Step 4: Simplify right side
    27,529x = 592,726,521.98
  5. Step 5: Solve for x
    x = 592,726,521.98/27,529
  6. Step 6: Final answer
    x = 21,530.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.