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Finding the Fourth Proportional to 52,190.97, 78,185.68 and 31,147.80

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Solution

The fourth proportional to 52,190.97, 78,185.68 and 31,147.80 is: 46,661.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,190.97 : 78,185.68 = 31,147.80 : x
  2. Step 2: Convert to fraction form
    52,190.97/78,185.68 = 31,147.80/x
  3. Step 3: Cross multiply
    52,190.97x = 78,185.68 × 31,147.80
  4. Step 4: Simplify right side
    52,190.97x = 2,435,311,923.50
  5. Step 5: Solve for x
    x = 2,435,311,923.50/52,190.97
  6. Step 6: Final answer
    x = 46,661.56

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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.