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Finding the Fourth Proportional to 31,663.41, 43,695.52 and 17,518.38

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Solution

The fourth proportional to 31,663.41, 43,695.52 and 17,518.38 is: 24,175.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,663.41 : 43,695.52 = 17,518.38 : x
  2. Step 2: Convert to fraction form
    31,663.41/43,695.52 = 17,518.38/x
  3. Step 3: Cross multiply
    31,663.41x = 43,695.52 × 17,518.38
  4. Step 4: Simplify right side
    31,663.41x = 765,474,516.00
  5. Step 5: Solve for x
    x = 765,474,516.00/31,663.41
  6. Step 6: Final answer
    x = 24,175.37

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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.