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Finding the Fourth Proportional to 31,702.84, 43,730.13 and 20,387.09

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Solution

The fourth proportional to 31,702.84, 43,730.13 and 20,387.09 is: 28,121.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,702.84 : 43,730.13 = 20,387.09 : x
  2. Step 2: Convert to fraction form
    31,702.84/43,730.13 = 20,387.09/x
  3. Step 3: Cross multiply
    31,702.84x = 43,730.13 × 20,387.09
  4. Step 4: Simplify right side
    31,702.84x = 891,530,167.12
  5. Step 5: Solve for x
    x = 891,530,167.12/31,702.84
  6. Step 6: Final answer
    x = 28,121.46

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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.