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Finding the Fourth Proportional to 27,042.49, 37,311.73 and 16,432.30

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Solution

The fourth proportional to 27,042.49, 37,311.73 and 16,432.30 is: 22,672.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,042.49 : 37,311.73 = 16,432.30 : x
  2. Step 2: Convert to fraction form
    27,042.49/37,311.73 = 16,432.30/x
  3. Step 3: Cross multiply
    27,042.49x = 37,311.73 × 16,432.30
  4. Step 4: Simplify right side
    27,042.49x = 613,117,540.88
  5. Step 5: Solve for x
    x = 613,117,540.88/27,042.49
  6. Step 6: Final answer
    x = 22,672.38

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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.