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Finding the Fourth Proportional to 34,709.77, 47,899.50 and 18,794.23

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Solution

The fourth proportional to 34,709.77, 47,899.50 and 18,794.23 is: 25,936.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,709.77 : 47,899.50 = 18,794.23 : x
  2. Step 2: Convert to fraction form
    34,709.77/47,899.50 = 18,794.23/x
  3. Step 3: Cross multiply
    34,709.77x = 47,899.50 × 18,794.23
  4. Step 4: Simplify right side
    34,709.77x = 900,234,135.38
  5. Step 5: Solve for x
    x = 900,234,135.38/34,709.77
  6. Step 6: Final answer
    x = 25,936.05

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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.