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Finding the Fourth Proportional to 37,184.45, 55,798.83 and 13,493.84

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Solution

The fourth proportional to 37,184.45, 55,798.83 and 13,493.84 is: 20,248.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,184.45 : 55,798.83 = 13,493.84 : x
  2. Step 2: Convert to fraction form
    37,184.45/55,798.83 = 13,493.84/x
  3. Step 3: Cross multiply
    37,184.45x = 55,798.83 × 13,493.84
  4. Step 4: Simplify right side
    37,184.45x = 752,940,519.08
  5. Step 5: Solve for x
    x = 752,940,519.08/37,184.45
  6. Step 6: Final answer
    x = 20,248.80

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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.