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Finding the Fourth Proportional to 36,180.49, 49,930.05 and 20,264.59

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Solution

The fourth proportional to 36,180.49, 49,930.05 and 20,264.59 is: 27,965.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,180.49 : 49,930.05 = 20,264.59 : x
  2. Step 2: Convert to fraction form
    36,180.49/49,930.05 = 20,264.59/x
  3. Step 3: Cross multiply
    36,180.49x = 49,930.05 × 20,264.59
  4. Step 4: Simplify right side
    36,180.49x = 1,011,811,991.93
  5. Step 5: Solve for x
    x = 1,011,811,991.93/36,180.49
  6. Step 6: Final answer
    x = 27,965.68

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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.