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Finding the Fourth Proportional to 50,569.92, 69,786 and 27,909.36

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Solution

The fourth proportional to 50,569.92, 69,786 and 27,909.36 is: 38,514.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,569.92 : 69,786 = 27,909.36 : x
  2. Step 2: Convert to fraction form
    50,569.92/69,786 = 27,909.36/x
  3. Step 3: Cross multiply
    50,569.92x = 69,786 × 27,909.36
  4. Step 4: Simplify right side
    50,569.92x = 1,947,682,596.96
  5. Step 5: Solve for x
    x = 1,947,682,596.96/50,569.92
  6. Step 6: Final answer
    x = 38,514.65

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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.