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Finding the Fourth Proportional to 27,291, 40,936.49 and 7,569.56

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Solution

The fourth proportional to 27,291, 40,936.49 and 7,569.56 is: 11,354.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,291 : 40,936.49 = 7,569.56 : x
  2. Step 2: Convert to fraction form
    27,291/40,936.49 = 7,569.56/x
  3. Step 3: Cross multiply
    27,291x = 40,936.49 × 7,569.56
  4. Step 4: Simplify right side
    27,291x = 309,871,185.00
  5. Step 5: Solve for x
    x = 309,871,185.00/27,291
  6. Step 6: Final answer
    x = 11,354.34

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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.