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Finding the Fourth Proportional to 35,228.24, 52,843.92 and 14,450

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Solution

The fourth proportional to 35,228.24, 52,843.92 and 14,450 is: 21,675.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,228.24 : 52,843.92 = 14,450 : x
  2. Step 2: Convert to fraction form
    35,228.24/52,843.92 = 14,450/x
  3. Step 3: Cross multiply
    35,228.24x = 52,843.92 × 14,450
  4. Step 4: Simplify right side
    35,228.24x = 763,594,644
  5. Step 5: Solve for x
    x = 763,594,644/35,228.24
  6. Step 6: Final answer
    x = 21,675.64

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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.