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Finding the Fourth Proportional to 53,020.41, 73,163.82 and 31,213.22

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Solution

The fourth proportional to 53,020.41, 73,163.82 and 31,213.22 is: 43,071.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,020.41 : 73,163.82 = 31,213.22 : x
  2. Step 2: Convert to fraction form
    53,020.41/73,163.82 = 31,213.22/x
  3. Step 3: Cross multiply
    53,020.41x = 73,163.82 × 31,213.22
  4. Step 4: Simplify right side
    53,020.41x = 2,283,678,326.73
  5. Step 5: Solve for x
    x = 2,283,678,326.73/53,020.41
  6. Step 6: Final answer
    x = 43,071.68

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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.