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Finding the Fourth Proportional to 27,994.38, 41,786.76 and 24,673

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Solution

The fourth proportional to 27,994.38, 41,786.76 and 24,673 is: 36,828.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,994.38 : 41,786.76 = 24,673 : x
  2. Step 2: Convert to fraction form
    27,994.38/41,786.76 = 24,673/x
  3. Step 3: Cross multiply
    27,994.38x = 41,786.76 × 24,673
  4. Step 4: Simplify right side
    27,994.38x = 1,031,004,729.48
  5. Step 5: Solve for x
    x = 1,031,004,729.48/27,994.38
  6. Step 6: Final answer
    x = 36,828.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.