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Finding the Fourth Proportional to 31,663.76, 43,696.02 and 17,517.56

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Solution

The fourth proportional to 31,663.76, 43,696.02 and 17,517.56 is: 24,174.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,663.76 : 43,696.02 = 17,517.56 : x
  2. Step 2: Convert to fraction form
    31,663.76/43,696.02 = 17,517.56/x
  3. Step 3: Cross multiply
    31,663.76x = 43,696.02 × 17,517.56
  4. Step 4: Simplify right side
    31,663.76x = 765,447,652.11
  5. Step 5: Solve for x
    x = 765,447,652.11/31,663.76
  6. Step 6: Final answer
    x = 24,174.25

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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.