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Finding the Fourth Proportional to 31,817.99, 47,727.12 and 10,758.15

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Solution

The fourth proportional to 31,817.99, 47,727.12 and 10,758.15 is: 16,137.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,817.99 : 47,727.12 = 10,758.15 : x
  2. Step 2: Convert to fraction form
    31,817.99/47,727.12 = 10,758.15/x
  3. Step 3: Cross multiply
    31,817.99x = 47,727.12 × 10,758.15
  4. Step 4: Simplify right side
    31,817.99x = 513,455,516.03
  5. Step 5: Solve for x
    x = 513,455,516.03/31,817.99
  6. Step 6: Final answer
    x = 16,137.27

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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.