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Finding the Fourth Proportional to 54,867.25, 75,716.81 and 29,716.75

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Solution

The fourth proportional to 54,867.25, 75,716.81 and 29,716.75 is: 41,009.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,867.25 : 75,716.81 = 29,716.75 : x
  2. Step 2: Convert to fraction form
    54,867.25/75,716.81 = 29,716.75/x
  3. Step 3: Cross multiply
    54,867.25x = 75,716.81 × 29,716.75
  4. Step 4: Simplify right side
    54,867.25x = 2,250,057,513.57
  5. Step 5: Solve for x
    x = 2,250,057,513.57/54,867.25
  6. Step 6: Final answer
    x = 41,009.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.