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Finding the Fourth Proportional to 33,188.80, 49,809.12 and 12,418.24

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Solution

The fourth proportional to 33,188.80, 49,809.12 and 12,418.24 is: 18,637.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,188.80 : 49,809.12 = 12,418.24 : x
  2. Step 2: Convert to fraction form
    33,188.80/49,809.12 = 12,418.24/x
  3. Step 3: Cross multiply
    33,188.80x = 49,809.12 × 12,418.24
  4. Step 4: Simplify right side
    33,188.80x = 618,541,606.35
  5. Step 5: Solve for x
    x = 618,541,606.35/33,188.80
  6. Step 6: Final answer
    x = 18,637.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.