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Finding the Fourth Proportional to 31,863.84, 43,971 and 17,716.38

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Solution

The fourth proportional to 31,863.84, 43,971 and 17,716.38 is: 24,447.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,863.84 : 43,971 = 17,716.38 : x
  2. Step 2: Convert to fraction form
    31,863.84/43,971 = 17,716.38/x
  3. Step 3: Cross multiply
    31,863.84x = 43,971 × 17,716.38
  4. Step 4: Simplify right side
    31,863.84x = 779,006,944.98
  5. Step 5: Solve for x
    x = 779,006,944.98/31,863.84
  6. Step 6: Final answer
    x = 24,447.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.