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Finding the Fourth Proportional to 27,955.88, 41,924.94 and 9,232.43

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Solution

The fourth proportional to 27,955.88, 41,924.94 and 9,232.43 is: 13,845.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,955.88 : 41,924.94 = 9,232.43 : x
  2. Step 2: Convert to fraction form
    27,955.88/41,924.94 = 9,232.43/x
  3. Step 3: Cross multiply
    27,955.88x = 41,924.94 × 9,232.43
  4. Step 4: Simplify right side
    27,955.88x = 387,069,073.80
  5. Step 5: Solve for x
    x = 387,069,073.80/27,955.88
  6. Step 6: Final answer
    x = 13,845.71

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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.