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Finding the Fourth Proportional to 31,855.88, 43,962 and 17,709.68

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Solution

The fourth proportional to 31,855.88, 43,962 and 17,709.68 is: 24,439.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,855.88 : 43,962 = 17,709.68 : x
  2. Step 2: Convert to fraction form
    31,855.88/43,962 = 17,709.68/x
  3. Step 3: Cross multiply
    31,855.88x = 43,962 × 17,709.68
  4. Step 4: Simplify right side
    31,855.88x = 778,552,952.16
  5. Step 5: Solve for x
    x = 778,552,952.16/31,855.88
  6. Step 6: Final answer
    x = 24,439.85

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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.