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Finding the Fourth Proportional to 31,153.65, 42,992.27 and 17,006.86

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Solution

The fourth proportional to 31,153.65, 42,992.27 and 17,006.86 is: 23,469.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,153.65 : 42,992.27 = 17,006.86 : x
  2. Step 2: Convert to fraction form
    31,153.65/42,992.27 = 17,006.86/x
  3. Step 3: Cross multiply
    31,153.65x = 42,992.27 × 17,006.86
  4. Step 4: Simplify right side
    31,153.65x = 731,163,516.97
  5. Step 5: Solve for x
    x = 731,163,516.97/31,153.65
  6. Step 6: Final answer
    x = 23,469.59

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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.