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Finding the Fourth Proportional to 30,857.56, 46,251.34 and 14,183.13

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Solution

The fourth proportional to 30,857.56, 46,251.34 and 14,183.13 is: 21,258.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,857.56 : 46,251.34 = 14,183.13 : x
  2. Step 2: Convert to fraction form
    30,857.56/46,251.34 = 14,183.13/x
  3. Step 3: Cross multiply
    30,857.56x = 46,251.34 × 14,183.13
  4. Step 4: Simplify right side
    30,857.56x = 655,988,905.88
  5. Step 5: Solve for x
    x = 655,988,905.88/30,857.56
  6. Step 6: Final answer
    x = 21,258.61

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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.