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Finding the Fourth Proportional to 43,772.67, 65,642.49 and 14,182.56

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Solution

The fourth proportional to 43,772.67, 65,642.49 and 14,182.56 is: 21,268.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,772.67 : 65,642.49 = 14,182.56 : x
  2. Step 2: Convert to fraction form
    43,772.67/65,642.49 = 14,182.56/x
  3. Step 3: Cross multiply
    43,772.67x = 65,642.49 × 14,182.56
  4. Step 4: Simplify right side
    43,772.67x = 930,978,552.97
  5. Step 5: Solve for x
    x = 930,978,552.97/43,772.67
  6. Step 6: Final answer
    x = 21,268.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.