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Finding the Fourth Proportional to 114,542.82, 171,773.04 and 39,642.64

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Solution

The fourth proportional to 114,542.82, 171,773.04 and 39,642.64 is: 59,449.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,542.82 : 171,773.04 = 39,642.64 : x
  2. Step 2: Convert to fraction form
    114,542.82/171,773.04 = 39,642.64/x
  3. Step 3: Cross multiply
    114,542.82x = 171,773.04 × 39,642.64
  4. Step 4: Simplify right side
    114,542.82x = 6,809,536,786.43
  5. Step 5: Solve for x
    x = 6,809,536,786.43/114,542.82
  6. Step 6: Final answer
    x = 59,449.70

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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.