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Finding the Fourth Proportional to 31,714.20, 43,786.98 and 28,346.22

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Solution

The fourth proportional to 31,714.20, 43,786.98 and 28,346.22 is: 39,136.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,714.20 : 43,786.98 = 28,346.22 : x
  2. Step 2: Convert to fraction form
    31,714.20/43,786.98 = 28,346.22/x
  3. Step 3: Cross multiply
    31,714.20x = 43,786.98 × 28,346.22
  4. Step 4: Simplify right side
    31,714.20x = 1,241,195,368.22
  5. Step 5: Solve for x
    x = 1,241,195,368.22/31,714.20
  6. Step 6: Final answer
    x = 39,136.90

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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.