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Finding the Fourth Proportional to 27,101.70, 40,664.62 and 17,238.42

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Solution

The fourth proportional to 27,101.70, 40,664.62 and 17,238.42 is: 25,865.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,101.70 : 40,664.62 = 17,238.42 : x
  2. Step 2: Convert to fraction form
    27,101.70/40,664.62 = 17,238.42/x
  3. Step 3: Cross multiply
    27,101.70x = 40,664.62 × 17,238.42
  4. Step 4: Simplify right side
    27,101.70x = 700,993,798.70
  5. Step 5: Solve for x
    x = 700,993,798.70/27,101.70
  6. Step 6: Final answer
    x = 25,865.31

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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.