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Finding the Fourth Proportional to 34,772.99, 47,986.25 and 18,857.12

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Solution

The fourth proportional to 34,772.99, 47,986.25 and 18,857.12 is: 26,022.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,772.99 : 47,986.25 = 18,857.12 : x
  2. Step 2: Convert to fraction form
    34,772.99/47,986.25 = 18,857.12/x
  3. Step 3: Cross multiply
    34,772.99x = 47,986.25 × 18,857.12
  4. Step 4: Simplify right side
    34,772.99x = 904,882,140.38
  5. Step 5: Solve for x
    x = 904,882,140.38/34,772.99
  6. Step 6: Final answer
    x = 26,022.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.