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Finding the Fourth Proportional to 32,162, 44,391.24 and 18,921.68

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Solution

The fourth proportional to 32,162, 44,391.24 and 18,921.68 is: 26,116.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,162 : 44,391.24 = 18,921.68 : x
  2. Step 2: Convert to fraction form
    32,162/44,391.24 = 18,921.68/x
  3. Step 3: Cross multiply
    32,162x = 44,391.24 × 18,921.68
  4. Step 4: Simplify right side
    32,162x = 839,956,838.08
  5. Step 5: Solve for x
    x = 839,956,838.08/32,162
  6. Step 6: Final answer
    x = 26,116.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.