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Finding the Fourth Proportional to 34,735.28, 52,102.56 and 8,440.34

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Solution

The fourth proportional to 34,735.28, 52,102.56 and 8,440.34 is: 12,660.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,735.28 : 52,102.56 = 8,440.34 : x
  2. Step 2: Convert to fraction form
    34,735.28/52,102.56 = 8,440.34/x
  3. Step 3: Cross multiply
    34,735.28x = 52,102.56 × 8,440.34
  4. Step 4: Simplify right side
    34,735.28x = 439,763,321.27
  5. Step 5: Solve for x
    x = 439,763,321.27/34,735.28
  6. Step 6: Final answer
    x = 12,660.42

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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.