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Finding the Fourth Proportional to 32,081.68, 48,127.04 and 9,896.84

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Solution

The fourth proportional to 32,081.68, 48,127.04 and 9,896.84 is: 14,846.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,081.68 : 48,127.04 = 9,896.84 : x
  2. Step 2: Convert to fraction form
    32,081.68/48,127.04 = 9,896.84/x
  3. Step 3: Cross multiply
    32,081.68x = 48,127.04 × 9,896.84
  4. Step 4: Simplify right side
    32,081.68x = 476,305,614.55
  5. Step 5: Solve for x
    x = 476,305,614.55/32,081.68
  6. Step 6: Final answer
    x = 14,846.65

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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.