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Finding the Fourth Proportional to 37,121.69, 55,682.64 and 9,041.76

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Solution

The fourth proportional to 37,121.69, 55,682.64 and 9,041.76 is: 13,562.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,121.69 : 55,682.64 = 9,041.76 : x
  2. Step 2: Convert to fraction form
    37,121.69/55,682.64 = 9,041.76/x
  3. Step 3: Cross multiply
    37,121.69x = 55,682.64 × 9,041.76
  4. Step 4: Simplify right side
    37,121.69x = 503,469,067.05
  5. Step 5: Solve for x
    x = 503,469,067.05/37,121.69
  6. Step 6: Final answer
    x = 13,562.66

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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.