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Finding the Fourth Proportional to 37,198.74, 55,780.85 and 13,503.31

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Solution

The fourth proportional to 37,198.74, 55,780.85 and 13,503.31 is: 20,248.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,198.74 : 55,780.85 = 13,503.31 : x
  2. Step 2: Convert to fraction form
    37,198.74/55,780.85 = 13,503.31/x
  3. Step 3: Cross multiply
    37,198.74x = 55,780.85 × 13,503.31
  4. Step 4: Simplify right side
    37,198.74x = 753,226,003.92
  5. Step 5: Solve for x
    x = 753,226,003.92/37,198.74
  6. Step 6: Final answer
    x = 20,248.69

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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.