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Finding the Fourth Proportional to 30,785.56, 46,171.74 and 9,727.24

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Solution

The fourth proportional to 30,785.56, 46,171.74 and 9,727.24 is: 14,588.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,785.56 : 46,171.74 = 9,727.24 : x
  2. Step 2: Convert to fraction form
    30,785.56/46,171.74 = 9,727.24/x
  3. Step 3: Cross multiply
    30,785.56x = 46,171.74 × 9,727.24
  4. Step 4: Simplify right side
    30,785.56x = 449,123,596.20
  5. Step 5: Solve for x
    x = 449,123,596.20/30,785.56
  6. Step 6: Final answer
    x = 14,588.77

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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.