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Finding the Fourth Proportional to 37,198.40, 55,786.24 and 13,503.04

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Solution

The fourth proportional to 37,198.40, 55,786.24 and 13,503.04 is: 20,250.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,198.40 : 55,786.24 = 13,503.04 : x
  2. Step 2: Convert to fraction form
    37,198.40/55,786.24 = 13,503.04/x
  3. Step 3: Cross multiply
    37,198.40x = 55,786.24 × 13,503.04
  4. Step 4: Simplify right side
    37,198.40x = 753,283,830.17
  5. Step 5: Solve for x
    x = 753,283,830.17/37,198.40
  6. Step 6: Final answer
    x = 20,250.44

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Why These Related Problems?

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