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Finding the Fourth Proportional to 31,153.94, 42,992.43 and 17,006.78

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Solution

The fourth proportional to 31,153.94, 42,992.43 and 17,006.78 is: 23,469.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,153.94 : 42,992.43 = 17,006.78 : x
  2. Step 2: Convert to fraction form
    31,153.94/42,992.43 = 17,006.78/x
  3. Step 3: Cross multiply
    31,153.94x = 42,992.43 × 17,006.78
  4. Step 4: Simplify right side
    31,153.94x = 731,162,842.38
  5. Step 5: Solve for x
    x = 731,162,842.38/31,153.94
  6. Step 6: Final answer
    x = 23,469.35

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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.