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Finding the Fourth Proportional to 36,924.16, 55,340.16 and 18,461.44

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Solution

The fourth proportional to 36,924.16, 55,340.16 and 18,461.44 is: 27,669.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,924.16 : 55,340.16 = 18,461.44 : x
  2. Step 2: Convert to fraction form
    36,924.16/55,340.16 = 18,461.44/x
  3. Step 3: Cross multiply
    36,924.16x = 55,340.16 × 18,461.44
  4. Step 4: Simplify right side
    36,924.16x = 1,021,659,043.43
  5. Step 5: Solve for x
    x = 1,021,659,043.43/36,924.16
  6. Step 6: Final answer
    x = 27,669.12

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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.