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Finding the Fourth Proportional to 37,754.32, 56,613.64 and 11,453.64

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Solution

The fourth proportional to 37,754.32, 56,613.64 and 11,453.64 is: 17,175.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,754.32 : 56,613.64 = 11,453.64 : x
  2. Step 2: Convert to fraction form
    37,754.32/56,613.64 = 11,453.64/x
  3. Step 3: Cross multiply
    37,754.32x = 56,613.64 × 11,453.64
  4. Step 4: Simplify right side
    37,754.32x = 648,432,251.65
  5. Step 5: Solve for x
    x = 648,432,251.65/37,754.32
  6. Step 6: Final answer
    x = 17,175.05

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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.