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Finding the Fourth Proportional to 27,165.70, 40,760.25 and 14,694.50

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Solution

The fourth proportional to 27,165.70, 40,760.25 and 14,694.50 is: 22,048.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,165.70 : 40,760.25 = 14,694.50 : x
  2. Step 2: Convert to fraction form
    27,165.70/40,760.25 = 14,694.50/x
  3. Step 3: Cross multiply
    27,165.70x = 40,760.25 × 14,694.50
  4. Step 4: Simplify right side
    27,165.70x = 598,951,493.63
  5. Step 5: Solve for x
    x = 598,951,493.63/27,165.70
  6. Step 6: Final answer
    x = 22,048.08

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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.