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Finding the Fourth Proportional to 27,825.98, 38,405.64 and 25,584.30

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Solution

The fourth proportional to 27,825.98, 38,405.64 and 25,584.30 is: 35,311.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,825.98 : 38,405.64 = 25,584.30 : x
  2. Step 2: Convert to fraction form
    27,825.98/38,405.64 = 25,584.30/x
  3. Step 3: Cross multiply
    27,825.98x = 38,405.64 × 25,584.30
  4. Step 4: Simplify right side
    27,825.98x = 982,581,287.53
  5. Step 5: Solve for x
    x = 982,581,287.53/27,825.98
  6. Step 6: Final answer
    x = 35,311.66

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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.