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Finding the Fourth Proportional to 52,049.50, 78,098.44 and 16,516.42

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Solution

The fourth proportional to 52,049.50, 78,098.44 and 16,516.42 is: 24,782.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,049.50 : 78,098.44 = 16,516.42 : x
  2. Step 2: Convert to fraction form
    52,049.50/78,098.44 = 16,516.42/x
  3. Step 3: Cross multiply
    52,049.50x = 78,098.44 × 16,516.42
  4. Step 4: Simplify right side
    52,049.50x = 1,289,906,636.38
  5. Step 5: Solve for x
    x = 1,289,906,636.38/52,049.50
  6. Step 6: Final answer
    x = 24,782.31

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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.