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Finding the Fourth Proportional to 54,882.25, 75,738.32 and 29,731.75

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Solution

The fourth proportional to 54,882.25, 75,738.32 and 29,731.75 is: 41,030.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,882.25 : 75,738.32 = 29,731.75 : x
  2. Step 2: Convert to fraction form
    54,882.25/75,738.32 = 29,731.75/x
  3. Step 3: Cross multiply
    54,882.25x = 75,738.32 × 29,731.75
  4. Step 4: Simplify right side
    54,882.25x = 2,251,832,795.66
  5. Step 5: Solve for x
    x = 2,251,832,795.66/54,882.25
  6. Step 6: Final answer
    x = 41,030.26

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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.