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Finding the Fourth Proportional to 41,287.14, 56,976.21 and 22,424.28

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Solution

The fourth proportional to 41,287.14, 56,976.21 and 22,424.28 is: 30,945.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,287.14 : 56,976.21 = 22,424.28 : x
  2. Step 2: Convert to fraction form
    41,287.14/56,976.21 = 22,424.28/x
  3. Step 3: Cross multiply
    41,287.14x = 56,976.21 × 22,424.28
  4. Step 4: Simplify right side
    41,287.14x = 1,277,650,486.38
  5. Step 5: Solve for x
    x = 1,277,650,486.38/41,287.14
  6. Step 6: Final answer
    x = 30,945.48

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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.