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Finding the Fourth Proportional to 71,841.22, 107,711.82 and 31,838.50

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Solution

The fourth proportional to 71,841.22, 107,711.82 and 31,838.50 is: 47,735.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,841.22 : 107,711.82 = 31,838.50 : x
  2. Step 2: Convert to fraction form
    71,841.22/107,711.82 = 31,838.50/x
  3. Step 3: Cross multiply
    71,841.22x = 107,711.82 × 31,838.50
  4. Step 4: Simplify right side
    71,841.22x = 3,429,382,781.07
  5. Step 5: Solve for x
    x = 3,429,382,781.07/71,841.22
  6. Step 6: Final answer
    x = 47,735.59

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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.