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Finding the Fourth Proportional to 27,749.38, 41,624.75 and 9,029.47

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Solution

The fourth proportional to 27,749.38, 41,624.75 and 9,029.47 is: 13,544.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,749.38 : 41,624.75 = 9,029.47 : x
  2. Step 2: Convert to fraction form
    27,749.38/41,624.75 = 9,029.47/x
  3. Step 3: Cross multiply
    27,749.38x = 41,624.75 × 9,029.47
  4. Step 4: Simplify right side
    27,749.38x = 375,849,431.38
  5. Step 5: Solve for x
    x = 375,849,431.38/27,749.38
  6. Step 6: Final answer
    x = 13,544.43

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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.