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Finding the Fourth Proportional to 71,844.22, 107,716.32 and 31,841.50

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Solution

The fourth proportional to 71,844.22, 107,716.32 and 31,841.50 is: 47,740.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,844.22 : 107,716.32 = 31,841.50 : x
  2. Step 2: Convert to fraction form
    71,844.22/107,716.32 = 31,841.50/x
  3. Step 3: Cross multiply
    71,844.22x = 107,716.32 × 31,841.50
  4. Step 4: Simplify right side
    71,844.22x = 3,429,849,203.28
  5. Step 5: Solve for x
    x = 3,429,849,203.28/71,844.22
  6. Step 6: Final answer
    x = 47,740.09

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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.