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Finding the Fourth Proportional to 37,634.64, 56,454.72 and 12,674.56

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Solution

The fourth proportional to 37,634.64, 56,454.72 and 12,674.56 is: 19,012.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,634.64 : 56,454.72 = 12,674.56 : x
  2. Step 2: Convert to fraction form
    37,634.64/56,454.72 = 12,674.56/x
  3. Step 3: Cross multiply
    37,634.64x = 56,454.72 × 12,674.56
  4. Step 4: Simplify right side
    37,634.64x = 715,538,735.92
  5. Step 5: Solve for x
    x = 715,538,735.92/37,634.64
  6. Step 6: Final answer
    x = 19,012.77

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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.