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Finding the Fourth Proportional to 53,936.26, 74,430.32 and 33,804

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Solution

The fourth proportional to 53,936.26, 74,430.32 and 33,804 is: 46,648.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,936.26 : 74,430.32 = 33,804 : x
  2. Step 2: Convert to fraction form
    53,936.26/74,430.32 = 33,804/x
  3. Step 3: Cross multiply
    53,936.26x = 74,430.32 × 33,804
  4. Step 4: Simplify right side
    53,936.26x = 2,516,042,537.28
  5. Step 5: Solve for x
    x = 2,516,042,537.28/53,936.26
  6. Step 6: Final answer
    x = 46,648.44

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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.