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Finding the Fourth Proportional to 54,010.71, 74,514 and 33,832.47

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Solution

The fourth proportional to 54,010.71, 74,514 and 33,832.47 is: 46,675.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,010.71 : 74,514 = 33,832.47 : x
  2. Step 2: Convert to fraction form
    54,010.71/74,514 = 33,832.47/x
  3. Step 3: Cross multiply
    54,010.71x = 74,514 × 33,832.47
  4. Step 4: Simplify right side
    54,010.71x = 2,520,992,669.58
  5. Step 5: Solve for x
    x = 2,520,992,669.58/54,010.71
  6. Step 6: Final answer
    x = 46,675.79

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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.