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Finding the Fourth Proportional to 71,184.74, 106,786.92 and 24,431.54

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Solution

The fourth proportional to 71,184.74, 106,786.92 and 24,431.54 is: 36,650.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,184.74 : 106,786.92 = 24,431.54 : x
  2. Step 2: Convert to fraction form
    71,184.74/106,786.92 = 24,431.54/x
  3. Step 3: Cross multiply
    71,184.74x = 106,786.92 × 24,431.54
  4. Step 4: Simplify right side
    71,184.74x = 2,608,968,907.46
  5. Step 5: Solve for x
    x = 2,608,968,907.46/71,184.74
  6. Step 6: Final answer
    x = 36,650.68

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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.