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Finding the Fourth Proportional to 39,668.40, 59,441.76 and 27,144

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Solution

The fourth proportional to 39,668.40, 59,441.76 and 27,144 is: 40,674.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,668.40 : 59,441.76 = 27,144 : x
  2. Step 2: Convert to fraction form
    39,668.40/59,441.76 = 27,144/x
  3. Step 3: Cross multiply
    39,668.40x = 59,441.76 × 27,144
  4. Step 4: Simplify right side
    39,668.40x = 1,613,487,133.44
  5. Step 5: Solve for x
    x = 1,613,487,133.44/39,668.40
  6. Step 6: Final answer
    x = 40,674.37

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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.