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Finding the Fourth Proportional to 82,975, 114,505.50 and 45,249.52

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Solution

The fourth proportional to 82,975, 114,505.50 and 45,249.52 is: 62,444.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,975 : 114,505.50 = 45,249.52 : x
  2. Step 2: Convert to fraction form
    82,975/114,505.50 = 45,249.52/x
  3. Step 3: Cross multiply
    82,975x = 114,505.50 × 45,249.52
  4. Step 4: Simplify right side
    82,975x = 5,181,318,912.36
  5. Step 5: Solve for x
    x = 5,181,318,912.36/82,975
  6. Step 6: Final answer
    x = 62,444.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.