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Finding the Fourth Proportional to 27,738.39, 38,182.82 and 24,195.45

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Solution

The fourth proportional to 27,738.39, 38,182.82 and 24,195.45 is: 33,305.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,738.39 : 38,182.82 = 24,195.45 : x
  2. Step 2: Convert to fraction form
    27,738.39/38,182.82 = 24,195.45/x
  3. Step 3: Cross multiply
    27,738.39x = 38,182.82 × 24,195.45
  4. Step 4: Simplify right side
    27,738.39x = 923,850,391.19
  5. Step 5: Solve for x
    x = 923,850,391.19/27,738.39
  6. Step 6: Final answer
    x = 33,305.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.