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Finding the Fourth Proportional to 71,296.22, 106,922.73 and 29,733.50

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Solution

The fourth proportional to 71,296.22, 106,922.73 and 29,733.50 is: 44,591.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,296.22 : 106,922.73 = 29,733.50 : x
  2. Step 2: Convert to fraction form
    71,296.22/106,922.73 = 29,733.50/x
  3. Step 3: Cross multiply
    71,296.22x = 106,922.73 × 29,733.50
  4. Step 4: Simplify right side
    71,296.22x = 3,179,186,992.46
  5. Step 5: Solve for x
    x = 3,179,186,992.46/71,296.22
  6. Step 6: Final answer
    x = 44,591.24

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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.