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Finding the Fourth Proportional to 52,069.38, 78,085.23 and 18,780.50

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Solution

The fourth proportional to 52,069.38, 78,085.23 and 18,780.50 is: 28,163.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,069.38 : 78,085.23 = 18,780.50 : x
  2. Step 2: Convert to fraction form
    52,069.38/78,085.23 = 18,780.50/x
  3. Step 3: Cross multiply
    52,069.38x = 78,085.23 × 18,780.50
  4. Step 4: Simplify right side
    52,069.38x = 1,466,479,786.80
  5. Step 5: Solve for x
    x = 1,466,479,786.80/52,069.38
  6. Step 6: Final answer
    x = 28,163.96

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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.