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Finding the Fourth Proportional to 39,542.46, 59,311.56 and 9,960.24

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Solution

The fourth proportional to 39,542.46, 59,311.56 and 9,960.24 is: 14,939.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,542.46 : 59,311.56 = 9,960.24 : x
  2. Step 2: Convert to fraction form
    39,542.46/59,311.56 = 9,960.24/x
  3. Step 3: Cross multiply
    39,542.46x = 59,311.56 × 9,960.24
  4. Step 4: Simplify right side
    39,542.46x = 590,757,372.37
  5. Step 5: Solve for x
    x = 590,757,372.37/39,542.46
  6. Step 6: Final answer
    x = 14,939.82

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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.