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Finding the Fourth Proportional to 71,530, 107,300.92 and 22,282

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Solution

The fourth proportional to 71,530, 107,300.92 and 22,282 is: 33,424.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,530 : 107,300.92 = 22,282 : x
  2. Step 2: Convert to fraction form
    71,530/107,300.92 = 22,282/x
  3. Step 3: Cross multiply
    71,530x = 107,300.92 × 22,282
  4. Step 4: Simplify right side
    71,530x = 2,390,879,099.44
  5. Step 5: Solve for x
    x = 2,390,879,099.44/71,530
  6. Step 6: Final answer
    x = 33,424.84

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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.