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Finding the Fourth Proportional to 101,540.50, 152,310.75 and 27,668.50

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Solution

The fourth proportional to 101,540.50, 152,310.75 and 27,668.50 is: 41,502.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,540.50 : 152,310.75 = 27,668.50 : x
  2. Step 2: Convert to fraction form
    101,540.50/152,310.75 = 27,668.50/x
  3. Step 3: Cross multiply
    101,540.50x = 152,310.75 × 27,668.50
  4. Step 4: Simplify right side
    101,540.50x = 4,214,209,986.38
  5. Step 5: Solve for x
    x = 4,214,209,986.38/101,540.50
  6. Step 6: Final answer
    x = 41,502.75

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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.