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Finding the Fourth Proportional to 54,435.73, 75,127.34 and 31,780.29

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Solution

The fourth proportional to 54,435.73, 75,127.34 and 31,780.29 is: 43,860.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,435.73 : 75,127.34 = 31,780.29 : x
  2. Step 2: Convert to fraction form
    54,435.73/75,127.34 = 31,780.29/x
  3. Step 3: Cross multiply
    54,435.73x = 75,127.34 × 31,780.29
  4. Step 4: Simplify right side
    54,435.73x = 2,387,568,731.58
  5. Step 5: Solve for x
    x = 2,387,568,731.58/54,435.73
  6. Step 6: Final answer
    x = 43,860.33

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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.