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Finding the Fourth Proportional to 32,754.24, 49,131.09 and 9,380.70

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Solution

The fourth proportional to 32,754.24, 49,131.09 and 9,380.70 is: 14,070.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,754.24 : 49,131.09 = 9,380.70 : x
  2. Step 2: Convert to fraction form
    32,754.24/49,131.09 = 9,380.70/x
  3. Step 3: Cross multiply
    32,754.24x = 49,131.09 × 9,380.70
  4. Step 4: Simplify right side
    32,754.24x = 460,884,015.96
  5. Step 5: Solve for x
    x = 460,884,015.96/32,754.24
  6. Step 6: Final answer
    x = 14,070.97

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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.