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Finding the Fourth Proportional to 32,426.38, 48,635.54 and 8,735.80

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Solution

The fourth proportional to 32,426.38, 48,635.54 and 8,735.80 is: 13,102.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,426.38 : 48,635.54 = 8,735.80 : x
  2. Step 2: Convert to fraction form
    32,426.38/48,635.54 = 8,735.80/x
  3. Step 3: Cross multiply
    32,426.38x = 48,635.54 × 8,735.80
  4. Step 4: Simplify right side
    32,426.38x = 424,870,309.02
  5. Step 5: Solve for x
    x = 424,870,309.02/32,426.38
  6. Step 6: Final answer
    x = 13,102.61

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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.