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Finding the Fourth Proportional to 53,046.45, 73,205 and 30,387.43

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Solution

The fourth proportional to 53,046.45, 73,205 and 30,387.43 is: 41,935.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,046.45 : 73,205 = 30,387.43 : x
  2. Step 2: Convert to fraction form
    53,046.45/73,205 = 30,387.43/x
  3. Step 3: Cross multiply
    53,046.45x = 73,205 × 30,387.43
  4. Step 4: Simplify right side
    53,046.45x = 2,224,511,813.15
  5. Step 5: Solve for x
    x = 2,224,511,813.15/53,046.45
  6. Step 6: Final answer
    x = 41,935.17

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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.