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Finding the Fourth Proportional to 69,209.56, 103,814.34 and 19,289.80

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Solution

The fourth proportional to 69,209.56, 103,814.34 and 19,289.80 is: 28,934.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,209.56 : 103,814.34 = 19,289.80 : x
  2. Step 2: Convert to fraction form
    69,209.56/103,814.34 = 19,289.80/x
  3. Step 3: Cross multiply
    69,209.56x = 103,814.34 × 19,289.80
  4. Step 4: Simplify right side
    69,209.56x = 2,002,557,855.73
  5. Step 5: Solve for x
    x = 2,002,557,855.73/69,209.56
  6. Step 6: Final answer
    x = 28,934.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.