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Finding the Fourth Proportional to 40,326, 55,649.88 and 22,662

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Solution

The fourth proportional to 40,326, 55,649.88 and 22,662 is: 31,273.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,326 : 55,649.88 = 22,662 : x
  2. Step 2: Convert to fraction form
    40,326/55,649.88 = 22,662/x
  3. Step 3: Cross multiply
    40,326x = 55,649.88 × 22,662
  4. Step 4: Simplify right side
    40,326x = 1,261,137,580.56
  5. Step 5: Solve for x
    x = 1,261,137,580.56/40,326
  6. Step 6: Final answer
    x = 31,273.56

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