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Finding the Fourth Proportional to 53,107.70, 73,286.52 and 30,430.99

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Solution

The fourth proportional to 53,107.70, 73,286.52 and 30,430.99 is: 41,993.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,107.70 : 73,286.52 = 30,430.99 : x
  2. Step 2: Convert to fraction form
    53,107.70/73,286.52 = 30,430.99/x
  3. Step 3: Cross multiply
    53,107.70x = 73,286.52 × 30,430.99
  4. Step 4: Simplify right side
    53,107.70x = 2,230,181,505.92
  5. Step 5: Solve for x
    x = 2,230,181,505.92/53,107.70
  6. Step 6: Final answer
    x = 41,993.56

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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.