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Finding the Fourth Proportional to 69,074.34, 103,609.08 and 22,326

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Solution

The fourth proportional to 69,074.34, 103,609.08 and 22,326 is: 33,488.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,074.34 : 103,609.08 = 22,326 : x
  2. Step 2: Convert to fraction form
    69,074.34/103,609.08 = 22,326/x
  3. Step 3: Cross multiply
    69,074.34x = 103,609.08 × 22,326
  4. Step 4: Simplify right side
    69,074.34x = 2,313,176,320.08
  5. Step 5: Solve for x
    x = 2,313,176,320.08/69,074.34
  6. Step 6: Final answer
    x = 33,488.21

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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.