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Finding the Fourth Proportional to 31,668.50, 43,702.47 and 17,521.31

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Solution

The fourth proportional to 31,668.50, 43,702.47 and 17,521.31 is: 24,179.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,668.50 : 43,702.47 = 17,521.31 : x
  2. Step 2: Convert to fraction form
    31,668.50/43,702.47 = 17,521.31/x
  3. Step 3: Cross multiply
    31,668.50x = 43,702.47 × 17,521.31
  4. Step 4: Simplify right side
    31,668.50x = 765,724,633.89
  5. Step 5: Solve for x
    x = 765,724,633.89/31,668.50
  6. Step 6: Final answer
    x = 24,179.38

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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.