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Finding the Fourth Proportional to 37,449.64, 56,175.61 and 16,378.84

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Solution

The fourth proportional to 37,449.64, 56,175.61 and 16,378.84 is: 24,568.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,449.64 : 56,175.61 = 16,378.84 : x
  2. Step 2: Convert to fraction form
    37,449.64/56,175.61 = 16,378.84/x
  3. Step 3: Cross multiply
    37,449.64x = 56,175.61 × 16,378.84
  4. Step 4: Simplify right side
    37,449.64x = 920,091,328.09
  5. Step 5: Solve for x
    x = 920,091,328.09/37,449.64
  6. Step 6: Final answer
    x = 24,568.76

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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.