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Finding the Fourth Proportional to 32,314.01, 48,470.94 and 8,940.38

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Solution

The fourth proportional to 32,314.01, 48,470.94 and 8,940.38 is: 13,410.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,314.01 : 48,470.94 = 8,940.38 : x
  2. Step 2: Convert to fraction form
    32,314.01/48,470.94 = 8,940.38/x
  3. Step 3: Cross multiply
    32,314.01x = 48,470.94 × 8,940.38
  4. Step 4: Simplify right side
    32,314.01x = 433,348,380.20
  5. Step 5: Solve for x
    x = 433,348,380.20/32,314.01
  6. Step 6: Final answer
    x = 13,410.54

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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.