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Finding the Fourth Proportional to 27,754.40, 41,632 and 9,034.54

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Solution

The fourth proportional to 27,754.40, 41,632 and 9,034.54 is: 13,551.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,754.40 : 41,632 = 9,034.54 : x
  2. Step 2: Convert to fraction form
    27,754.40/41,632 = 9,034.54/x
  3. Step 3: Cross multiply
    27,754.40x = 41,632 × 9,034.54
  4. Step 4: Simplify right side
    27,754.40x = 376,125,761.12
  5. Step 5: Solve for x
    x = 376,125,761.12/27,754.40
  6. Step 6: Final answer
    x = 13,551.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.