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Finding the Fourth Proportional to 71,843.22, 107,714.82 and 31,840.50

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Solution

The fourth proportional to 71,843.22, 107,714.82 and 31,840.50 is: 47,738.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,843.22 : 107,714.82 = 31,840.50 : x
  2. Step 2: Convert to fraction form
    71,843.22/107,714.82 = 31,840.50/x
  3. Step 3: Cross multiply
    71,843.22x = 107,714.82 × 31,840.50
  4. Step 4: Simplify right side
    71,843.22x = 3,429,693,726.21
  5. Step 5: Solve for x
    x = 3,429,693,726.21/71,843.22
  6. Step 6: Final answer
    x = 47,738.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.