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Finding the Fourth Proportional to 27,951.51, 41,918.37 and 9,228.06

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Solution

The fourth proportional to 27,951.51, 41,918.37 and 9,228.06 is: 13,839.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,951.51 : 41,918.37 = 9,228.06 : x
  2. Step 2: Convert to fraction form
    27,951.51/41,918.37 = 9,228.06/x
  3. Step 3: Cross multiply
    27,951.51x = 41,918.37 × 9,228.06
  4. Step 4: Simplify right side
    27,951.51x = 386,825,233.46
  5. Step 5: Solve for x
    x = 386,825,233.46/27,951.51
  6. Step 6: Final answer
    x = 13,839.15

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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.