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Finding the Fourth Proportional to 55,876.32, 83,815.20 and 16,434.27

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Solution

The fourth proportional to 55,876.32, 83,815.20 and 16,434.27 is: 24,651.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,876.32 : 83,815.20 = 16,434.27 : x
  2. Step 2: Convert to fraction form
    55,876.32/83,815.20 = 16,434.27/x
  3. Step 3: Cross multiply
    55,876.32x = 83,815.20 × 16,434.27
  4. Step 4: Simplify right side
    55,876.32x = 1,377,441,626.90
  5. Step 5: Solve for x
    x = 1,377,441,626.90/55,876.32
  6. Step 6: Final answer
    x = 24,651.62

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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.