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Finding the Fourth Proportional to 47,923.12, 71,797.08 and 34,742.80

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Solution

The fourth proportional to 47,923.12, 71,797.08 and 34,742.80 is: 52,050.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,923.12 : 71,797.08 = 34,742.80 : x
  2. Step 2: Convert to fraction form
    47,923.12/71,797.08 = 34,742.80/x
  3. Step 3: Cross multiply
    47,923.12x = 71,797.08 × 34,742.80
  4. Step 4: Simplify right side
    47,923.12x = 2,494,431,591.02
  5. Step 5: Solve for x
    x = 2,494,431,591.02/47,923.12
  6. Step 6: Final answer
    x = 52,050.69

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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.