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Finding the Fourth Proportional to 43,542.75, 65,314.16 and 34,833.03

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Solution

The fourth proportional to 43,542.75, 65,314.16 and 34,833.03 is: 52,249.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,542.75 : 65,314.16 = 34,833.03 : x
  2. Step 2: Convert to fraction form
    43,542.75/65,314.16 = 34,833.03/x
  3. Step 3: Cross multiply
    43,542.75x = 65,314.16 × 34,833.03
  4. Step 4: Simplify right side
    43,542.75x = 2,275,090,094.70
  5. Step 5: Solve for x
    x = 2,275,090,094.70/43,542.75
  6. Step 6: Final answer
    x = 52,249.57

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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.