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Finding the Fourth Proportional to 54,716.16, 82,054.80 and 17,265

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Solution

The fourth proportional to 54,716.16, 82,054.80 and 17,265 is: 25,891.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,716.16 : 82,054.80 = 17,265 : x
  2. Step 2: Convert to fraction form
    54,716.16/82,054.80 = 17,265/x
  3. Step 3: Cross multiply
    54,716.16x = 82,054.80 × 17,265
  4. Step 4: Simplify right side
    54,716.16x = 1,416,676,122
  5. Step 5: Solve for x
    x = 1,416,676,122/54,716.16
  6. Step 6: Final answer
    x = 25,891.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.