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Finding the Fourth Proportional to 31,678.29, 43,716.51 and 17,531.64

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Solution

The fourth proportional to 31,678.29, 43,716.51 and 17,531.64 is: 24,193.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,678.29 : 43,716.51 = 17,531.64 : x
  2. Step 2: Convert to fraction form
    31,678.29/43,716.51 = 17,531.64/x
  3. Step 3: Cross multiply
    31,678.29x = 43,716.51 × 17,531.64
  4. Step 4: Simplify right side
    31,678.29x = 766,422,115.38
  5. Step 5: Solve for x
    x = 766,422,115.38/31,678.29
  6. Step 6: Final answer
    x = 24,193.92

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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.