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Finding the Fourth Proportional to 34,735.20, 52,102.77 and 8,439.77

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Solution

The fourth proportional to 34,735.20, 52,102.77 and 8,439.77 is: 12,659.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,735.20 : 52,102.77 = 8,439.77 : x
  2. Step 2: Convert to fraction form
    34,735.20/52,102.77 = 8,439.77/x
  3. Step 3: Cross multiply
    34,735.20x = 52,102.77 × 8,439.77
  4. Step 4: Simplify right side
    34,735.20x = 439,735,134.65
  5. Step 5: Solve for x
    x = 439,735,134.65/34,735.20
  6. Step 6: Final answer
    x = 12,659.64

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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.