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Finding the Fourth Proportional to 52,147.38, 78,223.49 and 15,211.38

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Solution

The fourth proportional to 52,147.38, 78,223.49 and 15,211.38 is: 22,817.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,147.38 : 78,223.49 = 15,211.38 : x
  2. Step 2: Convert to fraction form
    52,147.38/78,223.49 = 15,211.38/x
  3. Step 3: Cross multiply
    52,147.38x = 78,223.49 × 15,211.38
  4. Step 4: Simplify right side
    52,147.38x = 1,189,887,231.32
  5. Step 5: Solve for x
    x = 1,189,887,231.32/52,147.38
  6. Step 6: Final answer
    x = 22,817.78

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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.