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Finding the Fourth Proportional to 32,830.30, 49,230.87 and 9,451.27

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Solution

The fourth proportional to 32,830.30, 49,230.87 and 9,451.27 is: 14,172.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,830.30 : 49,230.87 = 9,451.27 : x
  2. Step 2: Convert to fraction form
    32,830.30/49,230.87 = 9,451.27/x
  3. Step 3: Cross multiply
    32,830.30x = 49,230.87 × 9,451.27
  4. Step 4: Simplify right side
    32,830.30x = 465,294,244.70
  5. Step 5: Solve for x
    x = 465,294,244.70/32,830.30
  6. Step 6: Final answer
    x = 14,172.71

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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.