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Finding the Fourth Proportional to 53,201.67, 73,418.52 and 29,327.82

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Solution

The fourth proportional to 53,201.67, 73,418.52 and 29,327.82 is: 40,472.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,201.67 : 73,418.52 = 29,327.82 : x
  2. Step 2: Convert to fraction form
    53,201.67/73,418.52 = 29,327.82/x
  3. Step 3: Cross multiply
    53,201.67x = 73,418.52 × 29,327.82
  4. Step 4: Simplify right side
    53,201.67x = 2,153,204,772.13
  5. Step 5: Solve for x
    x = 2,153,204,772.13/53,201.67
  6. Step 6: Final answer
    x = 40,472.51

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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.