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Finding the Fourth Proportional to 57,572.26, 86,321.50 and 39,753

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Solution

The fourth proportional to 57,572.26, 86,321.50 and 39,753 is: 59,604.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,572.26 : 86,321.50 = 39,753 : x
  2. Step 2: Convert to fraction form
    57,572.26/86,321.50 = 39,753/x
  3. Step 3: Cross multiply
    57,572.26x = 86,321.50 × 39,753
  4. Step 4: Simplify right side
    57,572.26x = 3,431,538,490.12
  5. Step 5: Solve for x
    x = 3,431,538,490.12/57,572.26
  6. Step 6: Final answer
    x = 59,604.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.