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Finding the Fourth Proportional to 27,174.62, 40,754.54 and 7,448.49

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Solution

The fourth proportional to 27,174.62, 40,754.54 and 7,448.49 is: 11,170.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,174.62 : 40,754.54 = 7,448.49 : x
  2. Step 2: Convert to fraction form
    27,174.62/40,754.54 = 7,448.49/x
  3. Step 3: Cross multiply
    27,174.62x = 40,754.54 × 7,448.49
  4. Step 4: Simplify right side
    27,174.62x = 303,559,802.27
  5. Step 5: Solve for x
    x = 303,559,802.27/27,174.62
  6. Step 6: Final answer
    x = 11,170.71

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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.