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Finding the Fourth Proportional to 52,217.96, 78,262.79 and 20,596.28

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Solution

The fourth proportional to 52,217.96, 78,262.79 and 20,596.28 is: 30,869.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,217.96 : 78,262.79 = 20,596.28 : x
  2. Step 2: Convert to fraction form
    52,217.96/78,262.79 = 20,596.28/x
  3. Step 3: Cross multiply
    52,217.96x = 78,262.79 × 20,596.28
  4. Step 4: Simplify right side
    52,217.96x = 1,611,922,336.42
  5. Step 5: Solve for x
    x = 1,611,922,336.42/52,217.96
  6. Step 6: Final answer
    x = 30,869.12

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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.