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Finding the Fourth Proportional to 34,735.30, 52,102.78 and 8,440.12

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Solution

The fourth proportional to 34,735.30, 52,102.78 and 8,440.12 is: 12,660.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,735.30 : 52,102.78 = 8,440.12 : x
  2. Step 2: Convert to fraction form
    34,735.30/52,102.78 = 8,440.12/x
  3. Step 3: Cross multiply
    34,735.30x = 52,102.78 × 8,440.12
  4. Step 4: Simplify right side
    34,735.30x = 439,753,715.53
  5. Step 5: Solve for x
    x = 439,753,715.53/34,735.30
  6. Step 6: Final answer
    x = 12,660.14

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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.