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Finding the Fourth Proportional to 30,141.25, 41,589.86 and 20,084.71

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Solution

The fourth proportional to 30,141.25, 41,589.86 and 20,084.71 is: 27,713.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,141.25 : 41,589.86 = 20,084.71 : x
  2. Step 2: Convert to fraction form
    30,141.25/41,589.86 = 20,084.71/x
  3. Step 3: Cross multiply
    30,141.25x = 41,589.86 × 20,084.71
  4. Step 4: Simplify right side
    30,141.25x = 835,320,277.04
  5. Step 5: Solve for x
    x = 835,320,277.04/30,141.25
  6. Step 6: Final answer
    x = 27,713.52

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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.