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Finding the Fourth Proportional to 31,677.58, 43,702.38 and 18,241.64

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Solution

The fourth proportional to 31,677.58, 43,702.38 and 18,241.64 is: 25,166.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,677.58 : 43,702.38 = 18,241.64 : x
  2. Step 2: Convert to fraction form
    31,677.58/43,702.38 = 18,241.64/x
  3. Step 3: Cross multiply
    31,677.58x = 43,702.38 × 18,241.64
  4. Step 4: Simplify right side
    31,677.58x = 797,203,083.10
  5. Step 5: Solve for x
    x = 797,203,083.10/31,677.58
  6. Step 6: Final answer
    x = 25,166.16

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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.